2566049304 has 256 divisors, whose sum is σ = 8236892160. Its totient is φ = 648000000.

The previous prime is 2566049293. The next prime is 2566049327. The reversal of 2566049304 is 4039406652.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10223179 + ... + 10223429.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 2^2566049304 is an apocalyptic number.

2566049304 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 2566049304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118446080).

2566049304 is an abundant number, since it is smaller than the sum of its proper divisors (5670842856).

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

2566049304 is a wasteful number, since it uses less digits than its factorization.

2566049304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2566049304 is about 50656.1872232800. The cubic root of 2566049304 is about 1369.0574268443.

The spelling of 2566049304 in words is "two billion, five hundred sixty-six million, forty-nine thousand, three hundred four".