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2121449880 = 2335114139199
BaseRepresentation
bin111111001110010…
…1100000110011000
312110211212211010210
41332130230012120
513321042344010
6550302011120
7103400012034
oct17634540630
95424784123
102121449880
11999559770
124b2576aa0
1327a68b1b4
14161a711c4
15c63a2b20
hex7e72c198

2121449880 has 128 divisors (see below), whose sum is σ = 7112448000. Its totient is φ = 501734400.

The previous prime is 2121449851. The next prime is 2121449881. The reversal of 2121449880 is 889441212.

2121449880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121449881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34521 + ... + 73719.

It is an arithmetic number, because the mean of its divisors is an integer number (55566000).

Almost surely, 22121449880 is an apocalyptic number.

2121449880 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 2121449880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224000).

2121449880 is an abundant number, since it is smaller than the sum of its proper divisors (4990998120).

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

2121449880 is a wasteful number, since it uses less digits than its factorization.

2121449880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39265 (or 39261 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2121449880 is about 46059.1997325181. The cubic root of 2121449880 is about 1284.9244465967.

The spelling of 2121449880 in words is "two billion, one hundred twenty-one million, four hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 39199 54120 78398 117597 156796 195995 235194 313592 391990 431189 470388 587985 783980 862378 940776 1175970 1293567 1567960 1607159 1724756 2155945 2351940 2587134 3214318 3449512 4311890 4703880 4821477 5174268 6428636 6467835 8035795 8623780 9642954 10348536 12857272 12935670 16071590 17247560 17678749 19285908 24107385 25871340 32143180 35357498 38571816 48214770 51742680 53036247 64286360 70714996 88393745 96429540 106072494 141429992 176787490 192859080 212144988 265181235 353574980 424289976 530362470 707149960 1060724940 2121449880