2520400478976 has 432 divisors, whose sum is σ = 7810985014560. Its totient is φ = 809599795200.

The previous prime is 2520400478971. The next prime is 2520400479011. The reversal of 2520400478976 is 6798740040252.

2520400478976 is a `hidden beast` number, since 2 + 52 + 0 + 400 + 47 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (2520400478971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264625436 + ... + 1264627428.

It is an arithmetic number, because the mean of its divisors is an integer number (18080983830).

Almost surely, 2^{2520400478976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520400478976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905492507280).

2520400478976 is an abundant number, since it is smaller than the sum of its proper divisors (5290584535584).

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

2520400478976 is an equidigital number, since it uses as much as digits as its factorization.

2520400478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2520400478976 in words is "two trillion, five hundred twenty billion, four hundred million, four hundred seventy-eight thousand, nine hundred seventy-six".