2505968880 has 80 divisors (see below), whose sum is σ = 8036405280. Its totient is φ = 645213184.

The previous prime is 2505968879. The next prime is 2505968911. The reversal of 2505968880 is 888695052.

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, 173067 + ... + 186986.

It is an arithmetic number, because the mean of its divisors is an integer number (100455066).

Almost surely, 2^2505968880 is an apocalyptic number.

2505968880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505968880 is an abundant number, since it is smaller than the sum of its proper divisors (5530436400).

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

2505968880 is a wasteful number, since it uses less digits than its factorization.

2505968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360098 (or 360092 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The square root of 2505968880 is about 50059.6532149395. The cubic root of 2505968880 is about 1358.2880853442.

It can be divided in two parts, 25059 and 68880, that added together give a palindrome (93939).

The spelling of 2505968880 in words is "two billion, five hundred five million, nine hundred sixty-eight thousand, eight hundred eighty".