2572879200 has 288 divisors, whose sum is σ = 8686694016. Its totient is φ = 661032960.

The previous prime is 2572879181. The next prime is 2572879201. The reversal of 2572879200 is 29782752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572879201) 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 47 ways as a sum of consecutive naturals, for example, 11042284 + ... + 11042516.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 2^2572879200 is an apocalyptic number.

2572879200 is a gapful number since it is divisible by the number (20) 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 2572879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343347008).

2572879200 is an abundant number, since it is smaller than the sum of its proper divisors (6113814816).

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

2572879200 is a wasteful number, since it uses less digits than its factorization.

2572879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

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

The square root of 2572879200 is about 50723.5566576320. The cubic root of 2572879200 is about 1370.2709961721.

The spelling of 2572879200 in words is "two billion, five hundred seventy-two million, eight hundred seventy-nine thousand, two hundred".