2479536230400 has 936 divisors, whose sum is σ = 9270082864224. Its totient is φ = 656916480000.

The previous prime is 2479536230393. The next prime is 2479536230411. The reversal of 2479536230400 is 40326359742.

2479536230400 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 5 + 3 + 6 + 230 + 400 = 666.

It is a super-3 number, since 3×2479536230400³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6245683002 + ... + 6245683398.

It is an arithmetic number, because the mean of its divisors is an integer number (9903934684).

Almost surely, 2^{2479536230400} is an apocalyptic number.

2479536230400 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 2479536230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635041432112).

2479536230400 is an abundant number, since it is smaller than the sum of its proper divisors (6790546633824).

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

2479536230400 is an equidigital number, since it uses as much as digits as its factorization.

2479536230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2479536230400 in words is "two trillion, four hundred seventy-nine billion, five hundred thirty-six million, two hundred thirty thousand, four hundred".