2584304064 has 42 divisors (see below), whose sum is σ = 7407442640. Its totient is φ = 861434496.

The previous prime is 2584304029. The next prime is 2584304083. The reversal of 2584304064 is 4604034852.

2584304064 is a `hidden beast` number, since 2 + 584 + 30 + 40 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2242744 + ... + 2243895.

Almost surely, 2^2584304064 is an apocalyptic number.

2584304064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2584304064 is an abundant number, since it is smaller than the sum of its proper divisors (4823138576).

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

2584304064 is a wasteful number, since it uses less digits than its factorization.

2584304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486657 (or 4486644 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2584304064 is about 50836.0508300950. The cubic root of 2584304064 is about 1372.2962298140.

The spelling of 2584304064 in words is "two billion, five hundred eighty-four million, three hundred four thousand, sixty-four".