2501731344 has 160 divisors (see below), whose sum is σ = 7770931200. Its totient is φ = 678053376.

The previous prime is 2501731343. The next prime is 2501731411. The reversal of 2501731344 is 4431371052.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2501731343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980182 + ... + 982730.

It is an arithmetic number, because the mean of its divisors is an integer number (48568320).

Almost surely, 2^2501731344 is an apocalyptic number.

2501731344 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 2501731344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885465600).

2501731344 is an abundant number, since it is smaller than the sum of its proper divisors (5269199856).

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

2501731344 is a wasteful number, since it uses less digits than its factorization.

2501731344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2501731344 is about 50017.3104434855. The cubic root of 2501731344 is about 1357.5220420435.

The spelling of 2501731344 in words is "two billion, five hundred one million, seven hundred thirty-one thousand, three hundred forty-four".