2564516064 has 96 divisors (see below), whose sum is σ = 7382479104. Its totient is φ = 773038080.

The previous prime is 2564516047. The next prime is 2564516069. The reversal of 2564516064 is 4606154652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564516069) 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, 197517 + ... + 210099.

It is an arithmetic number, because the mean of its divisors is an integer number (76900824).

Almost surely, 2^2564516064 is an apocalyptic number.

2564516064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691239552).

2564516064 is an abundant number, since it is smaller than the sum of its proper divisors (4817963040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564516064 is a wasteful number, since it uses less digits than its factorization.

2564516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2564516064 is about 50641.0511739241. The cubic root of 2564516064 is about 1368.7846973711.

The spelling of 2564516064 in words is "two billion, five hundred sixty-four million, five hundred sixteen thousand, sixty-four".