2506456005 has 32 divisors (see below), whose sum is σ = 4048949376. Its totient is φ = 1323965184.

The previous prime is 2506455983. The next prime is 2506456009. The reversal of 2506456005 is 5006546052.

It is a happy number.

It is not a de Polignac number, because 2506456005 - 2²⁷ = 2372238277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506456009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732679 + ... + 736091.

It is an arithmetic number, because the mean of its divisors is an integer number (126529668).

Almost surely, 2^2506456005 is an apocalyptic number.

It is an amenable number.

2506456005 is a deficient number, since it is larger than the sum of its proper divisors (1542493371).

2506456005 is a wasteful number, since it uses less digits than its factorization.

2506456005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2506456005 is about 50064.5184237300. The cubic root of 2506456005 is about 1358.3760903232.

The spelling of 2506456005 in words is "two billion, five hundred six million, four hundred fifty-six thousand, five".