2564496000 has 384 divisors, whose sum is σ = 10053201600. Its totient is φ = 621312000.

The previous prime is 2564495977. The next prime is 2564496023. The reversal of 2564496000 is 6944652.

2564496000 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 49 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2564495977) and next prime (2564496023).

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 (36).

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, 1583191 + ... + 1584809.

Almost surely, 2^2564496000 is an apocalyptic number.

2564496000 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 2564496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026600800).

2564496000 is an abundant number, since it is smaller than the sum of its proper divisors (7488705600).

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

2564496000 is a wasteful number, since it uses less digits than its factorization.

2564496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2564496000 is about 50640.8530733834. The cubic root of 2564496000 is about 1368.7811277089.

The spelling of 2564496000 in words is "two billion, five hundred sixty-four million, four hundred ninety-six thousand".