2564555334 has 64 divisors (see below), whose sum is σ = 5670991872. Its totient is φ = 766713600.

The previous prime is 2564555333. The next prime is 2564555353. The reversal of 2564555334 is 4335554652.

It is a happy number.

It is a super-2 number, since 2×2564555334² = 13153888122295703112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564555333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1635819 + ... + 1637385.

It is an arithmetic number, because the mean of its divisors is an integer number (88609248).

Almost surely, 2^2564555334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564555334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835495936).

2564555334 is an abundant number, since it is smaller than the sum of its proper divisors (3106436538).

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

2564555334 is a wasteful number, since it uses less digits than its factorization.

2564555334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901.

The product of its digits is 1080000, while the sum is 42.

The square root of 2564555334 is about 50641.4389013582. The cubic root of 2564555334 is about 1368.7916839915.

The spelling of 2564555334 in words is "two billion, five hundred sixty-four million, five hundred fifty-five thousand, three hundred thirty-four".