2479113230400 has 189 divisors, whose sum is σ = 8812025364103. Its totient is φ = 661046476800.

The previous prime is 2479113230387. The next prime is 2479113230417. The reversal of 2479113230400 is 40323119742.

It is a happy number.

The square root of 2479113230400 is 1574520.

It is a perfect power (a square), and thus also a powerful number.

2479113230400 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 1 + 13 + 230 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 660110750784 + 1819002479616 = 812472^2 + 1348704^2 .

It is a super-2 number, since 2×2479113230400² (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 188935840 + ... + 188948960.

Almost surely, 2^{2479113230400} is an apocalyptic number.

2479113230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2479113230400 is the 1574520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479113230400

2479113230400 is an abundant number, since it is smaller than the sum of its proper divisors (6332912133703).

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

2479113230400 is an frugal number, since it uses more digits than its factorization.

2479113230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26270 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 2479113230400 by its sum of digits (36), we get a square (89248076294400 = 9447120²).

2479113230400 divided by its sum of digits (36) gives a square (68864256400 = 262420²).

The spelling of 2479113230400 in words is "two trillion, four hundred seventy-nine billion, one hundred thirteen million, two hundred thirty thousand, four hundred".