2500616580 has 384 divisors, whose sum is σ = 9238634496. Its totient is φ = 489984000.

The previous prime is 2500616579. The next prime is 2500616597. The reversal of 2500616580 is 856160052.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10732144 + ... + 10732376.

It is an arithmetic number, because the mean of its divisors is an integer number (24058944).

Almost surely, 2^2500616580 is an apocalyptic number.

2500616580 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 2500616580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619317248).

2500616580 is an abundant number, since it is smaller than the sum of its proper divisors (6738017916).

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

2500616580 is a wasteful number, since it uses less digits than its factorization.

2500616580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2500616580 is about 50006.1654198760. The cubic root of 2500616580 is about 1357.3203761668.

The spelling of 2500616580 in words is "two billion, five hundred million, six hundred sixteen thousand, five hundred eighty".