2057774544 has 320 divisors, whose sum is σ = 7080181760. Its totient is φ = 566870400.

The previous prime is 2057774531. The next prime is 2057774569. The reversal of 2057774544 is 4454777502.

2057774544 is a `hidden beast` number, since 2 + 0 + 577 + 74 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2057774544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7593129 + ... + 7593399.

It is an arithmetic number, because the mean of its divisors is an integer number (22125568).

Almost surely, 2^2057774544 is an apocalyptic number.

2057774544 is a gapful number since it is divisible by the number (24) 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 2057774544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540090880).

2057774544 is an abundant number, since it is smaller than the sum of its proper divisors (5022407216).

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

2057774544 is an equidigital number, since it uses as much as digits as its factorization.

2057774544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The square root of 2057774544 is about 45362.6999196476. The cubic root of 2057774544 is about 1271.9379642227.

The spelling of 2057774544 in words is "two billion, fifty-seven million, seven hundred seventy-four thousand, five hundred forty-four".