2479477132800 has 960 divisors, whose sum is σ = 9616315230720. Its totient is φ = 632282112000.

The previous prime is 2479477132753. The next prime is 2479477132807. The reversal of 2479477132800 is 82317749742.

2479477132800 is a `hidden beast` number, since 24 + 79 + 477 + 1 + 3 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2479477132800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479477132807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643850875 + ... + 643854725.

It is an arithmetic number, because the mean of its divisors is an integer number (10016995032).

Almost surely, 2^{2479477132800} is an apocalyptic number.

2479477132800 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 2479477132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808157615360).

2479477132800 is an abundant number, since it is smaller than the sum of its proper divisors (7136838097920).

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

2479477132800 is an frugal number, since it uses more digits than its factorization.

2479477132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 2479477132800 in words is "two trillion, four hundred seventy-nine billion, four hundred seventy-seven million, one hundred thirty-two thousand, eight hundred".