2479921920 has 864 divisors, whose sum is σ = 10928107008. Its totient is φ = 525533184.

The previous prime is 2479921919. The next prime is 2479922017. The reversal of 2479921920 is 291299742.

2479921920 is a `hidden beast` number, since 2 + 479 + 92 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37013727 + ... + 37013793.

It is an arithmetic number, because the mean of its divisors is an integer number (12648272).

Almost surely, 2^2479921920 is an apocalyptic number.

2479921920 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 2479921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464053504).

2479921920 is an abundant number, since it is smaller than the sum of its proper divisors (8448185088).

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

2479921920 is an equidigital number, since it uses as much as digits as its factorization.

2479921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2479921920 is about 49798.8144437194. The cubic root of 2479921920 is about 1353.5656849608.

The spelling of 2479921920 in words is "two billion, four hundred seventy-nine million, nine hundred twenty-one thousand, nine hundred twenty".