2552981460 has 96 divisors (see below), whose sum is σ = 7599070080. Its totient is φ = 638189568.

The previous prime is 2552981449. The next prime is 2552981503. The reversal of 2552981460 is 641892552.

2552981460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257271 + ... + 267009.

It is an arithmetic number, because the mean of its divisors is an integer number (79156980).

Almost surely, 2^2552981460 is an apocalyptic number.

2552981460 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 2552981460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799535040).

2552981460 is an abundant number, since it is smaller than the sum of its proper divisors (5046088620).

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

2552981460 is a wasteful number, since it uses less digits than its factorization.

2552981460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2552981460 is about 50527.0369208407. The cubic root of 2552981460 is about 1366.7294532593.

The spelling of 2552981460 in words is "two billion, five hundred fifty-two million, nine hundred eighty-one thousand, four hundred sixty".