2257697376 has 432 divisors, whose sum is σ = 7748631072. Its totient is φ = 620421120.

The previous prime is 2257697329. The next prime is 2257697417. The reversal of 2257697376 is 6737967522.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 21919341 + ... + 21919443.

It is an arithmetic number, because the mean of its divisors is an integer number (17936646).

Almost surely, 2^2257697376 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 2257697376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874315536).

2257697376 is an abundant number, since it is smaller than the sum of its proper divisors (5490933696).

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

2257697376 is a wasteful number, since it uses less digits than its factorization.

2257697376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The square root of 2257697376 is about 47515.2330942404. The cubic root of 2257697376 is about 1311.8632801713.

The spelling of 2257697376 in words is "two billion, two hundred fifty-seven million, six hundred ninety-seven thousand, three hundred seventy-six".