2057037400 has 96 divisors (see below), whose sum is σ = 5524400880. Its totient is φ = 704000000.

The previous prime is 2057037379. The next prime is 2057037403. The reversal of 2057037400 is 47307502.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057037403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9900 + ... + 64900.

Almost surely, 2^2057037400 is an apocalyptic number.

2057037400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057037400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762200440).

2057037400 is an abundant number, since it is smaller than the sum of its proper divisors (3467363480).

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

2057037400 is a wasteful number, since it uses less digits than its factorization.

2057037400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55045 (or 55036 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 2057037400 is about 45354.5741904827. The cubic root of 2057037400 is about 1271.7860665620.

It can be divided in two parts, 20570 and 37400, that added together give a triangular number (57970 = T₃₄₀).

The spelling of 2057037400 in words is "two billion, fifty-seven million, thirty-seven thousand, four hundred".