2496120422400 has 918 divisors, whose sum is σ = 9835384340600. Its totient is φ = 604687564800.

The previous prime is 2496120422371. The next prime is 2496120422417. The reversal of 2496120422400 is 42240216942.

2496120422400 is a `hidden beast` number, since 2 + 4 + 96 + 120 + 42 + 2 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1784216901 + ... + 1784218299.

Almost surely, 2^{2496120422400} is an apocalyptic number.

2496120422400 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 2496120422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917692170300).

2496120422400 is an abundant number, since it is smaller than the sum of its proper divisors (7339263918200).

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

2496120422400 is a wasteful number, since it uses less digits than its factorization.

2496120422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2496120422400 in words is "two trillion, four hundred ninety-six billion, one hundred twenty million, four hundred twenty-two thousand, four hundred".