2572292952 has 192 divisors, whose sum is σ = 7601817600. Its totient is φ = 783383040.

The previous prime is 2572292951. The next prime is 2572292959. The reversal of 2572292952 is 2592922752.

2572292952 is a `hidden beast` number, since 2 + 572 + 2 + 9 + 29 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2572292898 and 2572292907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572292951) 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, 4568623 + ... + 4569185.

It is an arithmetic number, because the mean of its divisors is an integer number (39592800).

Almost surely, 2^2572292952 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 2572292952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800908800).

2572292952 is an abundant number, since it is smaller than the sum of its proper divisors (5029524648).

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

2572292952 is a wasteful number, since it uses less digits than its factorization.

2572292952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 711 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2572292952 is about 50717.7774749643. Note that the first 3 decimals coincide. The cubic root of 2572292952 is about 1370.1669130820.

The spelling of 2572292952 in words is "two billion, five hundred seventy-two million, two hundred ninety-two thousand, nine hundred fifty-two".