2566436004 has 72 divisors (see below), whose sum is σ = 7086774240. Its totient is φ = 776649600.

The previous prime is 2566435919. The next prime is 2566436009. The reversal of 2566436004 is 4006346652.

2566436004 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 43 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2566436004.

It is not an unprimeable number, because it can be changed into a prime (2566436009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316359 + ... + 324369.

It is an arithmetic number, because the mean of its divisors is an integer number (98427420).

Almost surely, 2^2566436004 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 2566436004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543387120).

2566436004 is an abundant number, since it is smaller than the sum of its proper divisors (4520338236).

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

2566436004 is a wasteful number, since it uses less digits than its factorization.

2566436004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2566436004 is about 50660.0039873666. The cubic root of 2566436004 is about 1369.1261950624.

The spelling of 2566436004 in words is "two billion, five hundred sixty-six million, four hundred thirty-six thousand, four".