2564144416 has 48 divisors (see below), whose sum is σ = 5217488640. Its totient is φ = 1239171840.

The previous prime is 2564144371. The next prime is 2564144419. The reversal of 2564144416 is 6144414652.

It is a happy number.

It is a super-2 number, since 2×2564144416² = 13149673172207962112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2564144419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1565550 + ... + 1567186.

It is an arithmetic number, because the mean of its divisors is an integer number (108697680).

Almost surely, 2^2564144416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608744320).

2564144416 is an abundant number, since it is smaller than the sum of its proper divisors (2653344224).

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

2564144416 is a wasteful number, since it uses less digits than its factorization.

2564144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3249 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 2564144416 is about 50637.3816068722. The cubic root of 2564144416 is about 1368.7185730474.

The spelling of 2564144416 in words is "two billion, five hundred sixty-four million, one hundred forty-four thousand, four hundred sixteen".