2479334400 has 528 divisors, whose sum is σ = 9686076480. Its totient is φ = 619315200.

The previous prime is 2479334393. The next prime is 2479334437. The reversal of 2479334400 is 44339742.

2479334400 is a `hidden beast` number, since 247 + 9 + 3 + 3 + 4 + 400 = 666.

It is a super-2 number, since 2×2479334400² = 12294198134046720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11750295 + ... + 11750505.

Almost surely, 2^2479334400 is an apocalyptic number.

2479334400 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 2479334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843038240).

2479334400 is an abundant number, since it is smaller than the sum of its proper divisors (7206742080).

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

2479334400 is a wasteful number, since it uses less digits than its factorization.

2479334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2479334400 is about 49792.9151586850. The cubic root of 2479334400 is about 1353.4587851274.

The spelling of 2479334400 in words is "two billion, four hundred seventy-nine million, three hundred thirty-four thousand, four hundred".