2496763196928 has 1920 divisors, whose sum is σ = 10524126412800. Its totient is φ = 548226662400.

The previous prime is 2496763196881. The next prime is 2496763196951. The reversal of 2496763196928 is 8296913676942.

2496763196928 is a `hidden beast` number, since 2 + 496 + 7 + 63 + 19 + 69 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (423263232) is a multiple of the sum of its prime factors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2716825653 + ... + 2716826571.

It is an arithmetic number, because the mean of its divisors is an integer number (5481315840).

Almost surely, 2^{2496763196928} is an apocalyptic number.

2496763196928 is a gapful number since it is divisible by the number (28) 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 2496763196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262063206400).

2496763196928 is an abundant number, since it is smaller than the sum of its proper divisors (8027363215872).

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

2496763196928 is a wasteful number, since it uses less digits than its factorization.

2496763196928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1005 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 2496763196928 in words is "two trillion, four hundred ninety-six billion, seven hundred sixty-three million, one hundred ninety-six thousand, nine hundred twenty-eight".