2496188560320 has 3360 divisors, whose sum is σ = 11978367508800. Its totient is φ = 487599243264.

The previous prime is 2496188560319. The next prime is 2496188560331. The reversal of 2496188560320 is 230658816942.

2496188560320 is a `hidden beast` number, since 2 + 4 + 9 + 6 + 1 + 8 + 8 + 5 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 22900812426 + ... + 22900812534.

It is an arithmetic number, because the mean of its divisors is an integer number (3564990330).

Almost surely, 2^{2496188560320} is an apocalyptic number.

2496188560320 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 2496188560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989183754400).

2496188560320 is an abundant number, since it is smaller than the sum of its proper divisors (9482178948480).

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

2496188560320 is a wasteful number, since it uses less digits than its factorization.

2496188560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2496188560320 in words is "two trillion, four hundred ninety-six billion, one hundred eighty-eight million, five hundred sixty thousand, three hundred twenty".