2496756864 has 384 divisors, whose sum is σ = 8356884480. Its totient is φ = 646133760.

The previous prime is 2496756863. The next prime is 2496756887. The reversal of 2496756864 is 4686576942.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2496756864² = 12467589675862228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2496756863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30081367 + ... + 30081449.

It is an arithmetic number, because the mean of its divisors is an integer number (21762720).

Almost surely, 2^2496756864 is an apocalyptic number.

2496756864 is a gapful number since it is divisible by the number (24) 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 2496756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178442240).

2496756864 is an abundant number, since it is smaller than the sum of its proper divisors (5860127616).

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

2496756864 is a wasteful number, since it uses less digits than its factorization.

2496756864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The square root of 2496756864 is about 49967.5581152411. The cubic root of 2496756864 is about 1356.6216726367.

The spelling of 2496756864 in words is "two billion, four hundred ninety-six million, seven hundred fifty-six thousand, eight hundred sixty-four".