2505091880 has 32 divisors (see below), whose sum is σ = 5728863240. Its totient is φ = 985608960.

The previous prime is 2505091867. The next prime is 2505091889. The reversal of 2505091880 is 881905052.

It can be written as a sum of positive squares in 4 ways, for example, as 1944633604 + 560458276 = 44098^2 + 23674^2 .

It is not an unprimeable number, because it can be changed into a prime (2505091889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510899 + ... + 515778.

Almost surely, 2^2505091880 is an apocalyptic number.

2505091880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505091880 is an abundant number, since it is smaller than the sum of its proper divisors (3223771360).

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

2505091880 is a wasteful number, since it uses less digits than its factorization.

2505091880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026749 (or 1026745 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 2505091880 is about 50050.8928991282. The cubic root of 2505091880 is about 1358.1296160127.

The spelling of 2505091880 in words is "two billion, five hundred five million, ninety-one thousand, eight hundred eighty".