2572819632 has 80 divisors (see below), whose sum is σ = 7395856000. Its totient is φ = 856339776.

The previous prime is 2572819619. The next prime is 2572819657. The reversal of 2572819632 is 2369182752.

2572819632 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 8 + 1 + 9 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315219 + ... + 323277.

It is an arithmetic number, because the mean of its divisors is an integer number (92448200).

Almost surely, 2^2572819632 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 2572819632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697928000).

2572819632 is an abundant number, since it is smaller than the sum of its proper divisors (4823036368).

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

2572819632 is a wasteful number, since it uses less digits than its factorization.

2572819632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815 (or 8803 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2572819632 is about 50722.9694714337. The cubic root of 2572819632 is about 1370.2604211280.

The spelling of 2572819632 in words is "two billion, five hundred seventy-two million, eight hundred nineteen thousand, six hundred thirty-two".