2257128940 has 96 divisors (see below), whose sum is σ = 5559321600. Its totient is φ = 760965120.

The previous prime is 2257128931. The next prime is 2257129001. The reversal of 2257128940 is 498217522.

It is a junction number, because it is equal to n+sod(n) for n = 2257128893 and 2257128902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190716 + ... + 202204.

It is an arithmetic number, because the mean of its divisors is an integer number (57909600).

Almost surely, 2^2257128940 is an apocalyptic number.

2257128940 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 2257128940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779660800).

2257128940 is an abundant number, since it is smaller than the sum of its proper divisors (3302192660).

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

2257128940 is a wasteful number, since it uses less digits than its factorization.

2257128940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575 (or 11573 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 2257128940 is about 47509.2510991281. The cubic root of 2257128940 is about 1311.7531719823.

The spelling of 2257128940 in words is "two billion, two hundred fifty-seven million, one hundred twenty-eight thousand, nine hundred forty".