2572864128 has 128 divisors (see below), whose sum is σ = 7634088000. Its totient is φ = 853042176.

The previous prime is 2572864123. The next prime is 2572864141. The reversal of 2572864128 is 8214682752.

2572864128 is a `hidden beast` number, since 2 + 572 + 8 + 64 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2572864128² = 13239259642298400768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2572864121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 678943 + ... + 682721.

Almost surely, 2^2572864128 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 2572864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817044000).

2572864128 is an abundant number, since it is smaller than the sum of its proper divisors (5061223872).

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

2572864128 is a wasteful number, since it uses less digits than its factorization.

2572864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3981 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2572864128 is about 50723.4080873910. The cubic root of 2572864128 is about 1370.2683204713.

The spelling of 2572864128 in words is "two billion, five hundred seventy-two million, eight hundred sixty-four thousand, one hundred twenty-eight".