2505115344 has 80 divisors (see below), whose sum is σ = 6841972800. Its totient is φ = 787627008.

The previous prime is 2505115343. The next prime is 2505115367. The reversal of 2505115344 is 4435115052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505115343) 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, 206602 + ... + 218390.

It is an arithmetic number, because the mean of its divisors is an integer number (85524660).

Almost surely, 2^2505115344 is an apocalyptic number.

2505115344 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 2505115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420986400).

2505115344 is an abundant number, since it is smaller than the sum of its proper divisors (4336857456).

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

2505115344 is a wasteful number, since it uses less digits than its factorization.

2505115344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12052 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2505115344 is about 50051.1272999920. The cubic root of 2505115344 is about 1358.1338563168.

The spelling of 2505115344 in words is "two billion, five hundred five million, one hundred fifteen thousand, three hundred forty-four".