2504191920 has 40 divisors (see below), whose sum is σ = 7762995696. Its totient is φ = 667784448.

The previous prime is 2504191883. The next prime is 2504191967. The reversal of 2504191920 is 291914052.

2504191920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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, 5216827 + ... + 5217306.

Almost surely, 2^2504191920 is an apocalyptic number.

2504191920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2504191920 is an abundant number, since it is smaller than the sum of its proper divisors (5258803776).

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

2504191920 is a wasteful number, since it uses less digits than its factorization.

2504191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434149 (or 10434143 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2504191920 is about 50041.9016425235. The cubic root of 2504191920 is about 1357.9669594737.

The spelling of 2504191920 in words is "two billion, five hundred four million, one hundred ninety-one thousand, nine hundred twenty".