2564774000 has 40 divisors (see below), whose sum is σ = 6201628368. Its totient is φ = 1025908800.

The previous prime is 2564773963. The next prime is 2564774011. The reversal of 2564774000 is 4774652.

2564774000 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639194 + ... + 643193.

Almost surely, 2^2564774000 is an apocalyptic number.

2564774000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564774000 is an abundant number, since it is smaller than the sum of its proper divisors (3636854368).

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

2564774000 is a wasteful number, since it uses less digits than its factorization.

2564774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282410 (or 1282394 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 2564774000 is about 50643.5978184805. The cubic root of 2564774000 is about 1368.8305860826.

The spelling of 2564774000 in words is "two billion, five hundred sixty-four million, seven hundred seventy-four thousand".