2504801407680 has 1008 divisors, whose sum is σ = 10237254579552. Its totient is φ = 558379008000.

The previous prime is 2504801407663. The next prime is 2504801407681. The reversal of 2504801407680 is 867041084052.

2504801407680 is a `hidden beast` number, since 2 + 50 + 480 + 1 + 40 + 7 + 6 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2504801407681) 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 143 ways as a sum of consecutive naturals, for example, 1390782780 + ... + 1390784580.

Almost surely, 2^{2504801407680} is an apocalyptic number.

2504801407680 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 2504801407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118627289776).

2504801407680 is an abundant number, since it is smaller than the sum of its proper divisors (7732453171872).

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

2504801407680 is a wasteful number, since it uses less digits than its factorization.

2504801407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2504801407680 in words is "two trillion, five hundred four billion, eight hundred one million, four hundred seven thousand, six hundred eighty".