2564350002 has 80 divisors (see below), whose sum is σ = 5915021112. Its totient is φ = 829854720.

The previous prime is 2564349967. The next prime is 2564350007. The reversal of 2564350002 is 2000534652.

It can be written as a sum of positive squares in 4 ways, for example, as 924828921 + 1639521081 = 30411^2 + 40491^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2564350007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1546758 + ... + 1548414.

Almost surely, 2^2564350002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564350002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957510556).

2564350002 is an abundant number, since it is smaller than the sum of its proper divisors (3350671110).

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

2564350002 is a wasteful number, since it uses less digits than its factorization.

2564350002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2564350002 is about 50639.4115487137. The cubic root of 2564350002 is about 1368.7551520917.

Adding to 2564350002 its reverse (2000534652), we get a palindrome (4564884654).

The spelling of 2564350002 in words is "two billion, five hundred sixty-four million, three hundred fifty thousand, two".