2560464153 has 24 divisors (see below), whose sum is σ = 3990047880. Its totient is φ = 1572860160.

The previous prime is 2560464139. The next prime is 2560464157. The reversal of 2560464153 is 3514640652.

2560464153 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 4 + 641 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68757264 + 2491706889 = 8292^2 + 49917^2 .

It is not a de Polignac number, because 2560464153 - 2¹² = 2560460057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2560464157) 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, 47343 + ... + 85803.

It is an arithmetic number, because the mean of its divisors is an integer number (166251995).

Almost surely, 2^2560464153 is an apocalyptic number.

It is an amenable number.

2560464153 is a deficient number, since it is larger than the sum of its proper divisors (1429583727).

2560464153 is a wasteful number, since it uses less digits than its factorization.

2560464153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39049 (or 39046 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2560464153 is about 50601.0291693756. The cubic root of 2560464153 is about 1368.0634284354.

The spelling of 2560464153 in words is "two billion, five hundred sixty million, four hundred sixty-four thousand, one hundred fifty-three".