2057924736 has 144 divisors (see below), whose sum is σ = 6888921390. Its totient is φ = 587962368.

The previous prime is 2057924717. The next prime is 2057924741. The reversal of 2057924736 is 6374297502.

2057924736 is a `hidden beast` number, since 2 + 0 + 579 + 2 + 4 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1558670400 + 499254336 = 39480^2 + 22344^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2057924691 and 2057924700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38220 + ... + 74676.

Almost surely, 2^2057924736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057924736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444460695).

2057924736 is an abundant number, since it is smaller than the sum of its proper divisors (4830996654).

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

2057924736 is a wasteful number, since it uses less digits than its factorization.

2057924736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36491 (or 36469 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2057924736 is about 45364.3553464612. The cubic root of 2057924736 is about 1271.9689086977.

The spelling of 2057924736 in words is "two billion, fifty-seven million, nine hundred twenty-four thousand, seven hundred thirty-six".