2505781260 has 36 divisors (see below), whose sum is σ = 7600870368. Its totient is φ = 668208288.

The previous prime is 2505781259. The next prime is 2505781277. The reversal of 2505781260 is 621875052.

It is a happy number.

2505781260 is a `hidden beast` number, since 25 + 0 + 578 + 1 + 2 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6960324 + ... + 6960683.

It is an arithmetic number, because the mean of its divisors is an integer number (211135288).

Almost surely, 2^2505781260 is an apocalyptic number.

2505781260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505781260 is an abundant number, since it is smaller than the sum of its proper divisors (5095089108).

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

2505781260 is a wasteful number, since it uses less digits than its factorization.

2505781260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921022 (or 13921017 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2505781260 is about 50057.7792156224. The cubic root of 2505781260 is about 1358.2541864967.

The spelling of 2505781260 in words is "two billion, five hundred five million, seven hundred eighty-one thousand, two hundred sixty".