2452402500480 has 1152 divisors, whose sum is σ = 9257580914400. Its totient is φ = 620188876800.

The previous prime is 2452402500467. The next prime is 2452402500497. The reversal of 2452402500480 is 840052042542.

2452402500480 is a `hidden beast` number, since 2 + 4 + 524 + 0 + 2 + 50 + 0 + 4 + 80 = 666.

2452402500480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9116737786 + ... + 9116738054.

Almost surely, 2^{2452402500480} is an apocalyptic number.

2452402500480 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 2452402500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628790457200).

2452402500480 is an abundant number, since it is smaller than the sum of its proper divisors (6805178413920).

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

2452402500480 is an equidigital number, since it uses as much as digits as its factorization.

2452402500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 2452402500480 in words is "two trillion, four hundred fifty-two billion, four hundred two million, five hundred thousand, four hundred eighty".