2057085624 has 64 divisors (see below), whose sum is σ = 5616138240. Its totient is φ = 622703360.

The previous prime is 2057085617. The next prime is 2057085637. The reversal of 2057085624 is 4265807502.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 286057 + ... + 293159.

It is an arithmetic number, because the mean of its divisors is an integer number (87752160).

Almost surely, 2^2057085624 is an apocalyptic number.

2057085624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2057085624 is an abundant number, since it is smaller than the sum of its proper divisors (3559052616).

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

2057085624 is a wasteful number, since it uses less digits than its factorization.

2057085624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2057085624 is about 45355.1058206240. The cubic root of 2057085624 is about 1271.7960048244.

The spelling of 2057085624 in words is "two billion, fifty-seven million, eighty-five thousand, six hundred twenty-four".