2507734944 has 192 divisors, whose sum is σ = 8593361280. Its totient is φ = 701429760.

The previous prime is 2507734939. The next prime is 2507734973. The reversal of 2507734944 is 4494377052.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2507734944.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113404 + ... + 133700.

It is an arithmetic number, because the mean of its divisors is an integer number (44757090).

Almost surely, 2^2507734944 is an apocalyptic number.

2507734944 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 2507734944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296680640).

2507734944 is an abundant number, since it is smaller than the sum of its proper divisors (6085626336).

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

2507734944 is a wasteful number, since it uses less digits than its factorization.

2507734944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20340 (or 20326 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2507734944 is about 50077.2897030181. The cubic root of 2507734944 is about 1358.6070917520.

The spelling of 2507734944 in words is "two billion, five hundred seven million, seven hundred thirty-four thousand, nine hundred forty-four".