2564352645 has 16 divisors (see below), whose sum is σ = 4152399552. Its totient is φ = 1351176320.

The previous prime is 2564352589. The next prime is 2564352649. The reversal of 2564352645 is 5462534652.

It is not a de Polignac number, because 2564352645 - 2¹⁷ = 2564221573 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2564352597 and 2564352606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564352649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028616 + ... + 1031105.

It is an arithmetic number, because the mean of its divisors is an integer number (259524972).

Almost surely, 2^2564352645 is an apocalyptic number.

It is an amenable number.

2564352645 is a deficient number, since it is larger than the sum of its proper divisors (1588046907).

2564352645 is a wasteful number, since it uses less digits than its factorization.

2564352645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059812.

The product of its digits is 864000, while the sum is 42.

The square root of 2564352645 is about 50639.4376449818. The cubic root of 2564352645 is about 1368.7556223367.

The spelling of 2564352645 in words is "two billion, five hundred sixty-four million, three hundred fifty-two thousand, six hundred forty-five".