2562456160 has 48 divisors (see below), whose sum is σ = 6604152912. Its totient is φ = 931801600.

The previous prime is 2562456157. The next prime is 2562456161. The reversal of 2562456160 is 616542652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562456161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726211 + ... + 729730.

It is an arithmetic number, because the mean of its divisors is an integer number (137586519).

Almost surely, 2^2562456160 is an apocalyptic number.

2562456160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2562456160 is an abundant number, since it is smaller than the sum of its proper divisors (4041696752).

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

2562456160 is a wasteful number, since it uses less digits than its factorization.

2562456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455967 (or 1455959 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 2562456160 is about 50620.7088057842. The cubic root of 2562456160 is about 1368.4181148447.

The spelling of 2562456160 in words is "two billion, five hundred sixty-two million, four hundred fifty-six thousand, one hundred sixty".