2582962560 has 512 divisors, whose sum is σ = 9788083200. Its totient is φ = 642318336.

The previous prime is 2582962549. The next prime is 2582962601. The reversal of 2582962560 is 652692852.

2582962560 is a `hidden beast` number, since 2 + 5 + 8 + 29 + 62 + 560 = 666.

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

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, 26628432 + ... + 26628528.

It is an arithmetic number, because the mean of its divisors is an integer number (19117350).

Almost surely, 2^2582962560 is an apocalyptic number.

2582962560 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 2582962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894041600).

2582962560 is an abundant number, since it is smaller than the sum of its proper divisors (7205120640).

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

2582962560 is a wasteful number, since it uses less digits than its factorization.

2582962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2582962560 is about 50822.8547014038. The cubic root of 2582962560 is about 1372.0587371828.

The spelling of 2582962560 in words is "two billion, five hundred eighty-two million, nine hundred sixty-two thousand, five hundred sixty".