2572700928 has 288 divisors, whose sum is σ = 8359142400. Its totient is φ = 686112768.

The previous prime is 2572700917. The next prime is 2572700929. The reversal of 2572700928 is 8290072752.

It is a happy number.

It is a super-2 number, since 2×2572700928² = 13237580129864122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2572700928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572700929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9090675 + ... + 9090957.

It is an arithmetic number, because the mean of its divisors is an integer number (29024800).

Almost surely, 2^2572700928 is an apocalyptic number.

2572700928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2572700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179571200).

2572700928 is an abundant number, since it is smaller than the sum of its proper divisors (5786441472).

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

2572700928 is a wasteful number, since it uses less digits than its factorization.

2572700928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 2572700928 is about 50721.7993371686. The cubic root of 2572700928 is about 1370.2393472457.

The spelling of 2572700928 in words is "two billion, five hundred seventy-two million, seven hundred thousand, nine hundred twenty-eight".