2564210353 has 12 divisors (see below), whose sum is σ = 2655520320. Its totient is φ = 2475946440.

The previous prime is 2564210333. The next prime is 2564210359. The reversal of 2564210353 is 3530124652.

It is a happy number.

It is not a de Polignac number, because 2564210353 - 2²¹ = 2562113201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564210359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465268 + ... + 470746.

It is an arithmetic number, because the mean of its divisors is an integer number (221293360).

Almost surely, 2^2564210353 is an apocalyptic number.

It is an amenable number.

2564210353 is a deficient number, since it is larger than the sum of its proper divisors (91309967).

2564210353 is an equidigital number, since it uses as much as digits as its factorization.

2564210353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2564210353 is about 50638.0326730808. The cubic root of 2564210353 is about 1368.7303051509.

The spelling of 2564210353 in words is "two billion, five hundred sixty-four million, two hundred ten thousand, three hundred fifty-three".