2564234324652 has 432 divisors, whose sum is σ = 8461588339680. Its totient is φ = 598177198080.

The previous prime is 2564234324647. The next prime is 2564234324737.

2564234324652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2564234324652² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34184724 + ... + 34259652.

Almost surely, 2^{2564234324652} is an apocalyptic number.

2564234324652 is a gapful number since it is divisible by the number (22) 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 2564234324652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230794169840).

2564234324652 is an abundant number, since it is smaller than the sum of its proper divisors (5897354015028).

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

2564234324652 is a wasteful number, since it uses less digits than its factorization.

2564234324652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75022 (or 75002 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 2564234324652 in words is "two trillion, five hundred sixty-four billion, two hundred thirty-four million, three hundred twenty-four thousand, six hundred fifty-two".