2479050374400 has 324 divisors, whose sum is σ = 8969967010368. Its totient is φ = 653114019840.

The previous prime is 2479050374389. The next prime is 2479050374407. The reversal of 2479050374400 is 44730509742.

2479050374400 is a `hidden beast` number, since 2 + 4 + 79 + 0 + 503 + 74 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×2479050374400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479050374407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4521529 + ... + 5040071.

Almost surely, 2^{2479050374400} is an apocalyptic number.

2479050374400 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 2479050374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484983505184).

2479050374400 is an abundant number, since it is smaller than the sum of its proper divisors (6490916635968).

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

2479050374400 is a wasteful number, since it uses less digits than its factorization.

2479050374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518658 (or 518636 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2479050374400 in words is "two trillion, four hundred seventy-nine billion, fifty million, three hundred seventy-four thousand, four hundred".