2257660416 has 160 divisors (see below), whose sum is σ = 6703285248. Its totient is φ = 669347840.

The previous prime is 2257660397. The next prime is 2257660417. The reversal of 2257660416 is 6140667522.

It is not an unprimeable number, because it can be changed into a prime (2257660417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792691 + ... + 795533.

Almost surely, 2^2257660416 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 2257660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351642624).

2257660416 is an abundant number, since it is smaller than the sum of its proper divisors (4445624832).

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

2257660416 is a wasteful number, since it uses less digits than its factorization.

2257660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2257660416 is about 47514.8441647450. The cubic root of 2257660416 is about 1311.8561214423.

The spelling of 2257660416 in words is "two billion, two hundred fifty-seven million, six hundred sixty thousand, four hundred sixteen".