2505408920 has 32 divisors (see below), whose sum is σ = 6442480800. Its totient is φ = 858997248.

The previous prime is 2505408911. The next prime is 2505408967. The reversal of 2505408920 is 298045052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4473665 + ... + 4474224.

It is an arithmetic number, because the mean of its divisors is an integer number (201327525).

Almost surely, 2^2505408920 is an apocalyptic number.

2505408920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505408920 is an abundant number, since it is smaller than the sum of its proper divisors (3937071880).

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

2505408920 is a wasteful number, since it uses less digits than its factorization.

2505408920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947907 (or 8947903 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 2505408920 is about 50054.0599751908. The cubic root of 2505408920 is about 1358.1869077570.

The spelling of 2505408920 in words is "two billion, five hundred five million, four hundred eight thousand, nine hundred twenty".