2257428096 has 512 divisors, whose sum is σ = 8812800000. Its totient is φ = 550748160.

The previous prime is 2257428077. The next prime is 2257428101. The reversal of 2257428096 is 6908247522.

It is a super-2 number, since 2×2257428096² = 10191963217220370432, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4523655 + ... + 4524153.

It is an arithmetic number, because the mean of its divisors is an integer number (17212500).

Almost surely, 2^2257428096 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 2257428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400000).

2257428096 is an abundant number, since it is smaller than the sum of its proper divisors (6555371904).

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

2257428096 is a wasteful number, since it uses less digits than its factorization.

2257428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2257428096 is about 47512.3993921587. The cubic root of 2257428096 is about 1311.8111219276.

The spelling of 2257428096 in words is "two billion, two hundred fifty-seven million, four hundred twenty-eight thousand, ninety-six".