2496735744 has 160 divisors (see below), whose sum is σ = 7182933120. Its totient is φ = 768294912.

The previous prime is 2496735743. The next prime is 2496735749. The reversal of 2496735744 is 4475376942.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2496735743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023294 + ... + 1025730.

It is an arithmetic number, because the mean of its divisors is an integer number (44893332).

Almost surely, 2^2496735744 is an apocalyptic number.

2496735744 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 2496735744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591466560).

2496735744 is an abundant number, since it is smaller than the sum of its proper divisors (4686197376).

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

2496735744 is a wasteful number, since it uses less digits than its factorization.

2496735744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2494 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The square root of 2496735744 is about 49967.3467776707. The cubic root of 2496735744 is about 1356.6178474170.

The spelling of 2496735744 in words is "two billion, four hundred ninety-six million, seven hundred thirty-five thousand, seven hundred forty-four".