2506920864 has 48 divisors (see below), whose sum is σ = 7520764608. Its totient is φ = 716262912.

The previous prime is 2506920847. The next prime is 2506920917. The reversal of 2506920864 is 4680296052.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1864597 + ... + 1865940.

It is an arithmetic number, because the mean of its divisors is an integer number (156682596).

Almost surely, 2^2506920864 is an apocalyptic number.

2506920864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2506920864 is an abundant number, since it is smaller than the sum of its proper divisors (5013843744).

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

2506920864 is a wasteful number, since it uses less digits than its factorization.

2506920864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730557 (or 3730549 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2506920864 is about 50069.1608078266. The cubic root of 2506920864 is about 1358.4600620501.

The spelling of 2506920864 in words is "two billion, five hundred six million, nine hundred twenty thousand, eight hundred sixty-four".