2564049264 has 240 divisors, whose sum is σ = 7993738368. Its totient is φ = 705729024.

The previous prime is 2564049253. The next prime is 2564049287. The reversal of 2564049264 is 4629404652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8351799 + ... + 8352105.

Almost surely, 2^2564049264 is an apocalyptic number.

2564049264 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 2564049264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996869184).

2564049264 is an abundant number, since it is smaller than the sum of its proper divisors (5429689104).

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

2564049264 is a wasteful number, since it uses less digits than its factorization.

2564049264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2564049264 is about 50636.4420551049. The cubic root of 2564049264 is about 1368.7016423941.

The spelling of 2564049264 in words is "two billion, five hundred sixty-four million, forty-nine thousand, two hundred sixty-four".