2153162560 has 56 divisors (see below), whose sum is σ = 5252304456. Its totient is φ = 840253440.

The previous prime is 2153162551. The next prime is 2153162581. The reversal of 2153162560 is 652613512.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 2131484224 = 4656^2 + 46168^2 .

It is a super-2 number, since 2×2153162560² = 9272218019571507200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68937 + ... + 95176.

It is an arithmetic number, because the mean of its divisors is an integer number (93791151).

Almost surely, 2^2153162560 is an apocalyptic number.

2153162560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153162560 is an abundant number, since it is smaller than the sum of its proper divisors (3099141896).

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

2153162560 is a wasteful number, since it uses less digits than its factorization.

2153162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164171 (or 164161 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2153162560 is about 46402.1827072822. The cubic root of 2153162560 is about 1291.2954076583.

The spelling of 2153162560 in words is "two billion, one hundred fifty-three million, one hundred sixty-two thousand, five hundred sixty".