2564674000 has 80 divisors (see below), whose sum is σ = 7087332096. Its totient is φ = 879312000.

The previous prime is 2564673997. The next prime is 2564674001. The reversal of 2564674000 is 4764652.

2564674000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564674001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77596 + ... + 105595.

Almost surely, 2^2564674000 is an apocalyptic number.

2564674000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564674000 is an abundant number, since it is smaller than the sum of its proper divisors (4522658096).

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

2564674000 is a wasteful number, since it uses less digits than its factorization.

2564674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183221 (or 183205 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2564674000 is about 50642.6105172314. The cubic root of 2564674000 is about 1368.8127957123.

The spelling of 2564674000 in words is "two billion, five hundred sixty-four million, six hundred seventy-four thousand".