2552993520 has 480 divisors, whose sum is σ = 10480995840. Its totient is φ = 501811200.

The previous prime is 2552993507. The next prime is 2552993579. The reversal of 2552993520 is 253992552.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3861990 + ... + 3862650.

It is an arithmetic number, because the mean of its divisors is an integer number (21835408).

Almost surely, 2^2552993520 is an apocalyptic number.

2552993520 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 2552993520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240497920).

2552993520 is an abundant number, since it is smaller than the sum of its proper divisors (7928002320).

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

2552993520 is a wasteful number, since it uses less digits than its factorization.

2552993520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 2552993520 is about 50527.1562627465. The cubic root of 2552993520 is about 1366.7316053485.

The spelling of 2552993520 in words is "two billion, five hundred fifty-two million, nine hundred ninety-three thousand, five hundred twenty".