2257792992 has 432 divisors, whose sum is σ = 8323765632. Its totient is φ = 574801920.

The previous prime is 2257792981. The next prime is 2257792993. The reversal of 2257792992 is 2992977522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257792993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5686938 + ... + 5687334.

It is an arithmetic number, because the mean of its divisors is an integer number (19267976).

Almost surely, 2^2257792992 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 2257792992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161882816).

2257792992 is an abundant number, since it is smaller than the sum of its proper divisors (6065972640).

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

2257792992 is a wasteful number, since it uses less digits than its factorization.

2257792992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 453 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 2257792992 is about 47516.2392451255. The cubic root of 2257792992 is about 1311.8817995339.

The spelling of 2257792992 in words is "two billion, two hundred fifty-seven million, seven hundred ninety-two thousand, nine hundred ninety-two".