2506405011 has 24 divisors (see below), whose sum is σ = 3799980240. Its totient is φ = 1466646720.

The previous prime is 2506404977. The next prime is 2506405021. The reversal of 2506405011 is 1105046052.

It is not a de Polignac number, because 2506405011 - 2⁶ = 2506404947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2506405021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108520 + ... + 129573.

It is an arithmetic number, because the mean of its divisors is an integer number (158332510).

Almost surely, 2^2506405011 is an apocalyptic number.

2506405011 is a deficient number, since it is larger than the sum of its proper divisors (1293575229).

2506405011 is a wasteful number, since it uses less digits than its factorization.

2506405011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238147 (or 238136 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2506405011 is about 50064.0091383021. The cubic root of 2506405011 is about 1358.3668781793.

The spelling of 2506405011 in words is "two billion, five hundred six million, four hundred five thousand, eleven".