2475877920 has 96 divisors (see below), whose sum is σ = 7908969600. Its totient is φ = 650926080.

The previous prime is 2475877913. The next prime is 2475877967. The reversal of 2475877920 is 297785742.

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

It is a super-2 number, since 2×2475877920² = 12259942949487052800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2245 + ... + 70404.

It is an arithmetic number, because the mean of its divisors is an integer number (82385100).

Almost surely, 2^2475877920 is an apocalyptic number.

2475877920 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 2475877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954484800).

2475877920 is an abundant number, since it is smaller than the sum of its proper divisors (5433091680).

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

2475877920 is a wasteful number, since it uses less digits than its factorization.

2475877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72738 (or 72730 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 2475877920 is about 49758.1945010066. The cubic root of 2475877920 is about 1352.8295330597.

The spelling of 2475877920 in words is "two billion, four hundred seventy-five million, eight hundred seventy-seven thousand, nine hundred twenty".