2505940801 has 12 divisors (see below), whose sum is σ = 3139311252. Its totient is φ = 1982721888.

The previous prime is 2505940793. The next prime is 2505940823. The reversal of 2505940801 is 1080495052.

It can be written as a sum of positive squares in 2 ways, for example, as 733109776 + 1772831025 = 27076^2 + 42105^2 .

It is not a de Polignac number, because 2505940801 - 2³ = 2505940793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505940891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1966350 + ... + 1967623.

It is an arithmetic number, because the mean of its divisors is an integer number (261609271).

Almost surely, 2^2505940801 is an apocalyptic number.

It is an amenable number.

2505940801 is a deficient number, since it is larger than the sum of its proper divisors (633370451).

2505940801 is a wasteful number, since it uses less digits than its factorization.

2505940801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934000 (or 3933993 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 2505940801 is about 50059.3727587552. The cubic root of 2505940801 is about 1358.2830121881.

The spelling of 2505940801 in words is "two billion, five hundred five million, nine hundred forty thousand, eight hundred one".