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2121665360 = 245234332663
BaseRepresentation
bin111111001110110…
…0000101101010000
312110212021202201112
41332131200231100
513321121242420
6550310352452
7103401600203
oct17635405520
95425252645
102121665360
11999696651
124b265b728
1327a7352b9
14161ac993a
15c63e68c5
hex7e760b50

2121665360 has 80 divisors (see below), whose sum is σ = 5161169664. Its totient is φ = 809588736.

The previous prime is 2121665353. The next prime is 2121665387. The reversal of 2121665360 is 635661212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795389 + ... + 798051.

Almost surely, 22121665360 is an apocalyptic number.

2121665360 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 2121665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580584832).

2121665360 is an abundant number, since it is smaller than the sum of its proper divisors (3039504304).

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

2121665360 is a wasteful number, since it uses less digits than its factorization.

2121665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2121665360 is about 46061.5388366477. The cubic root of 2121665360 is about 1284.9679492579.

The spelling of 2121665360 in words is "two billion, one hundred twenty-one million, six hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 433 460 866 920 1732 1840 2165 2663 3464 4330 5326 6928 8660 9959 10652 13315 17320 19918 21304 26630 34640 39836 42608 49795 53260 61249 79672 99590 106520 122498 159344 199180 213040 244996 306245 398360 489992 612490 796720 979984 1153079 1224980 2306158 2449960 4612316 4899920 5765395 9224632 11530790 18449264 23061580 26520817 46123160 53041634 92246320 106083268 132604085 212166536 265208170 424333072 530416340 1060832680 2121665360