2552513760 has 72 divisors (see below), whose sum is σ = 8710458120. Its totient is φ = 680669952.

The previous prime is 2552513759. The next prime is 2552513801. The reversal of 2552513760 is 673152552.

2552513760 is a `hidden beast` number, since 25 + 52 + 513 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 884850 + ... + 887729.

It is an arithmetic number, because the mean of its divisors is an integer number (120978585).

Almost surely, 2^2552513760 is an apocalyptic number.

2552513760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552513760 is an abundant number, since it is smaller than the sum of its proper divisors (6157944360).

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

2552513760 is a wasteful number, since it uses less digits than its factorization.

2552513760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772600 (or 1772589 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 2552513760 is about 50522.4084936575. The cubic root of 2552513760 is about 1366.6459876572.

The spelling of 2552513760 in words is "two billion, five hundred fifty-two million, five hundred thirteen thousand, seven hundred sixty".