2506262880 has 96 divisors (see below), whose sum is σ = 8612448768. Its totient is φ = 607577600.

The previous prime is 2506262879. The next prime is 2506262923. The reversal of 2506262880 is 882626052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232056 + ... + 242615.

It is an arithmetic number, because the mean of its divisors is an integer number (89713008).

Almost surely, 2^2506262880 is an apocalyptic number.

2506262880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506262880 is an abundant number, since it is smaller than the sum of its proper divisors (6106185888).

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

2506262880 is a wasteful number, since it uses less digits than its factorization.

2506262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474700 (or 474692 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2506262880 is about 50062.5896253879. The cubic root of 2506262880 is about 1358.3412013378.

The spelling of 2506262880 in words is "two billion, five hundred six million, two hundred sixty-two thousand, eight hundred eighty".