2478974976000 has 960 divisors, whose sum is σ = 9264767016960. Its totient is φ = 653996851200.

The previous prime is 2478974975989. The next prime is 2478974976043. The reversal of 2478974976000 is 6794798742.

2478974976000 is a `hidden beast` number, since 2 + 4 + 7 + 89 + 7 + 497 + 60 + 0 + 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 2×2478974976000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7022591824 + ... + 7022592176.

It is an arithmetic number, because the mean of its divisors is an integer number (9650798976).

Almost surely, 2^{2478974976000} is an apocalyptic number.

2478974976000 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 2478974976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632383508480).

2478974976000 is an abundant number, since it is smaller than the sum of its proper divisors (6785792040960).

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

2478974976000 is an equidigital number, since it uses as much as digits as its factorization.

2478974976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 2478974976000 in words is "two trillion, four hundred seventy-eight billion, nine hundred seventy-four million, nine hundred seventy-six thousand".