2152006560 has 144 divisors (see below), whose sum is σ = 8011392480. Its totient is φ = 521694720.

The previous prime is 2152006537. The next prime is 2152006573. The reversal of 2152006560 is 656002512.

2152006560 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 0 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2152006560² = 9262264468566067200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52090 + ... + 83769.

It is an arithmetic number, because the mean of its divisors is an integer number (55634670).

Almost surely, 2^2152006560 is an apocalyptic number.

2152006560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152006560 is an abundant number, since it is smaller than the sum of its proper divisors (5859385920).

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

2152006560 is a wasteful number, since it uses less digits than its factorization.

2152006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135891 (or 135880 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2152006560 is about 46389.7247243395. The cubic root of 2152006560 is about 1291.0642740472.

The spelling of 2152006560 in words is "two billion, one hundred fifty-two million, six thousand, five hundred sixty".