2257315840 has 192 divisors, whose sum is σ = 6032033280. Its totient is φ = 805109760.

The previous prime is 2257315829. The next prime is 2257315861. The reversal of 2257315840 is 485137522.

It is a self number, because there is not a number n which added to its sum of digits gives 2257315840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4126447 + ... + 4126993.

It is an arithmetic number, because the mean of its divisors is an integer number (31416840).

Almost surely, 2^2257315840 is an apocalyptic number.

2257315840 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 2257315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016016640).

2257315840 is an abundant number, since it is smaller than the sum of its proper divisors (3774717440).

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

2257315840 is a wasteful number, since it uses less digits than its factorization.

2257315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 2257315840 is about 47511.2180437420. The cubic root of 2257315840 is about 1311.7893772542.

The spelling of 2257315840 in words is "two billion, two hundred fifty-seven million, three hundred fifteen thousand, eight hundred forty".