2564259840 has 384 divisors, whose sum is σ = 9323795520. Its totient is φ = 651165696.

The previous prime is 2564259839. The next prime is 2564259869. The reversal of 2564259840 is 489524652.

2564259840 is a `hidden beast` number, since 2 + 56 + 4 + 2 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54558697 + ... + 54558743.

Almost surely, 2^2564259840 is an apocalyptic number.

2564259840 is a gapful number since it is divisible by the number (20) 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 2564259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661897760).

2564259840 is an abundant number, since it is smaller than the sum of its proper divisors (6759535680).

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

2564259840 is an equidigital number, since it uses as much as digits as its factorization.

2564259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2564259840 is about 50638.5213054252. The cubic root of 2564259840 is about 1368.7391101905.

It can be divided in two parts, 256 and 4259840, that added together give a square (4260096 = 2064²).

The spelling of 2564259840 in words is "two billion, five hundred sixty-four million, two hundred fifty-nine thousand, eight hundred forty".