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2481042081840 = 243575657261059
BaseRepresentation
bin100100000110101001101…
…000011100100000110000
322210012000002101112111120
4210012221220130200300
5311122133233104330
65135435222142240
7344151351510120
oct44065150344060
98705002345446
102481042081840
11877227635823
12340a13b81980
1314cc65b8999a
1488123d70c80
154480e5d9c10
hex241a9a1c830

2481042081840 has 160 divisors (see below), whose sum is σ = 8791565160960. Its totient is φ = 566992914432.

The previous prime is 2481042081839. The next prime is 2481042081883. The reversal of 2481042081840 is 481802401842.

It is a super-2 number, since 2×24810420818402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2481042081792 and 2481042081801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9373231 + ... + 9634289.

It is an arithmetic number, because the mean of its divisors is an integer number (54947282256).

Almost surely, 22481042081840 is an apocalyptic number.

2481042081840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2481042081840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395782580480).

2481042081840 is an abundant number, since it is smaller than the sum of its proper divisors (6310523079120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2481042081840 is a wasteful number, since it uses less digits than its factorization.

2481042081840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266739 (or 266733 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 2481042081840 in words is "two trillion, four hundred eighty-one billion, forty-two million, eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 5657 11314 16971 22628 28285 33942 39599 45256 56570 67884 79198 84855 90512 113140 118797 135768 158396 169710 197995 226280 237594 261059 271536 316792 339420 395990 452560 475188 522118 593985 633584 678840 783177 791980 950376 1044236 1187970 1305295 1357680 1566354 1583960 1827413 1900752 2088472 2375940 2610590 3132708 3167920 3654826 3915885 4176944 4751880 5221180 5482239 6265416 7309652 7831770 9137065 9503760 10442360 10964478 12530832 14619304 15663540 18274130 20884720 21928956 27411195 29238608 31327080 36548260 43857912 54822390 62654160 73096520 87715824 109644780 146193040 219289560 438579120 1476810763 2953621526 4430432289 5907243052 7384053815 8860864578 10337675341 11814486104 14768107630 17721729156 20675350682 22152161445 23628972208 29536215260 31013026023 35443458312 41350701364 44304322890 51688376705 59072430520 62026052046 70886916624 82701402728 88608645780 103376753410 118144861040 124052104092 155065130115 165402805456 177217291560 206753506820 248104208184 310130260230 354434583120 413507013640 496208416368 620260520460 827014027280 1240521040920 2481042081840