2505292880 has 80 divisors (see below), whose sum is σ = 6192460800. Its totient is φ = 939916800.

The previous prime is 2505292879. The next prime is 2505292901. The reversal of 2505292880 is 882925052.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145361 + ... + 161679.

It is an arithmetic number, because the mean of its divisors is an integer number (77405760).

Almost surely, 2^2505292880 is an apocalyptic number.

2505292880 is a gapful number since it is divisible by the number (20) 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 2505292880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096230400).

2505292880 is an abundant number, since it is smaller than the sum of its proper divisors (3687167920).

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

2505292880 is a wasteful number, since it uses less digits than its factorization.

2505292880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16452 (or 16446 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 2505292880 is about 50052.9008150377. The cubic root of 2505292880 is about 1358.1659389322.

The spelling of 2505292880 in words is "two billion, five hundred five million, two hundred ninety-two thousand, eight hundred eighty".