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2421941040 = 243351765957
BaseRepresentation
bin1001000001011011…
…1110001100110000
320020210022100112000
42100112332030300
514430004103130
61040154334000
7114006105411
oct22026761460
96223270460
102421941040
111033139172
1257712a300
132c79cb70c
1418d931808
15e295c260
hex905be330

2421941040 has 160 divisors (see below), whose sum is σ = 8833095360. Its totient is φ = 607850496.

The previous prime is 2421941033. The next prime is 2421941083. The reversal of 2421941040 is 401491242.

It is a happy number.

2421941040 is a `hidden beast` number, since 242 + 1 + 9 + 410 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2421940995 and 2421941013.

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, 3742 + ... + 69698.

It is an arithmetic number, because the mean of its divisors is an integer number (55206846).

Almost surely, 22421941040 is an apocalyptic number.

2421941040 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 2421941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416547680).

2421941040 is an abundant number, since it is smaller than the sum of its proper divisors (6411154320).

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

2421941040 is a wasteful number, since it uses less digits than its factorization.

2421941040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65996 (or 65984 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2421941040 is about 49213.2201750708. The cubic root of 2421941040 is about 1342.9335449427.

The spelling of 2421941040 in words is "two billion, four hundred twenty-one million, nine hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 65957 131914 197871 263828 329785 395742 527656 593613 659570 791484 989355 1055312 1121269 1187226 1319140 1582968 1780839 1978710 2242538 2374452 2638280 2968065 3165936 3363807 3561678 3957420 4485076 4748904 5276560 5606345 5936130 6727614 7123356 7914840 8904195 8970152 9497808 10091421 11212690 11872260 13455228 14246712 15829680 16819035 17808390 17940304 20182842 22425380 23744520 26910456 28493424 30274263 33638070 35616780 40365684 44850760 47489040 50457105 53820912 60548526 67276140 71233560 80731368 89701520 100914210 121097052 134552280 142467120 151371315 161462736 201828420 242194104 269104560 302742630 403656840 484388208 605485260 807313680 1210970520 2421941040