2479568000 has 384 divisors, whose sum is σ = 7687405440. Its totient is φ = 778752000.

The previous prime is 2479567991. The next prime is 2479568027. The reversal of 2479568000 is 8659742.

It is a super-2 number, since 2×2479568000² = 12296514933248000000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 18927935 + ... + 18928065.

It is an arithmetic number, because the mean of its divisors is an integer number (20019285).

Almost surely, 2^2479568000 is an apocalyptic number.

2479568000 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 2479568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843702720).

2479568000 is an abundant number, since it is smaller than the sum of its proper divisors (5207837440).

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

2479568000 is a wasteful number, since it uses less digits than its factorization.

2479568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 2479568000 is about 49795.2608186763. The cubic root of 2479568000 is about 1353.5012908960.

The spelling of 2479568000 in words is "two billion, four hundred seventy-nine million, five hundred sixty-eight thousand".