2057987520 has 224 divisors, whose sum is σ = 7292888640. Its totient is φ = 546324480.

The previous prime is 2057987473. The next prime is 2057987521. The reversal of 2057987520 is 257897502.

It is a happy number.

2057987520 is a `hidden beast` number, since 2 + 0 + 579 + 8 + 75 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057987521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2703940 + ... + 2704700.

Almost surely, 2^2057987520 is an apocalyptic number.

2057987520 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 2057987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646444320).

2057987520 is an abundant number, since it is smaller than the sum of its proper divisors (5234901120).

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

2057987520 is a wasteful number, since it uses less digits than its factorization.

2057987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 2057987520 is about 45365.0473382317. The cubic root of 2057987520 is about 1271.9818438135.

The spelling of 2057987520 in words is "two billion, fifty-seven million, nine hundred eighty-seven thousand, five hundred twenty".