2572032528 has 240 divisors, whose sum is σ = 8116174976. Its totient is φ = 783820800.

The previous prime is 2572032499. The next prime is 2572032553. The reversal of 2572032528 is 8252302752.

It is a happy number.

2572032528 is a `hidden beast` number, since 2 + 572 + 0 + 32 + 52 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2572032492 and 2572032501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7631976 + ... + 7632312.

Almost surely, 2^2572032528 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 2572032528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058087488).

2572032528 is an abundant number, since it is smaller than the sum of its proper divisors (5544142448).

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

2572032528 is a wasteful number, since it uses less digits than its factorization.

2572032528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2572032528 is about 50715.2100261845. The cubic root of 2572032528 is about 1370.1206720567.

The spelling of 2572032528 in words is "two billion, five hundred seventy-two million, thirty-two thousand, five hundred twenty-eight".