2564744406 has 64 divisors (see below), whose sum is σ = 6216279552. Its totient is φ = 688660992.

The previous prime is 2564744387. The next prime is 2564744411. The reversal of 2564744406 is 6044474652.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566805 + ... + 571311.

It is an arithmetic number, because the mean of its divisors is an integer number (97129368).

Almost surely, 2^2564744406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564744406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108139776).

2564744406 is an abundant number, since it is smaller than the sum of its proper divisors (3651535146).

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

2564744406 is a wasteful number, since it uses less digits than its factorization.

2564744406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333.

The product of its (nonzero) digits is 645120, while the sum is 42.

The square root of 2564744406 is about 50643.3056385540. The cubic root of 2564744406 is about 1368.8253212486.

The spelling of 2564744406 in words is "two billion, five hundred sixty-four million, seven hundred forty-four thousand, four hundred six".