2257831680 has 288 divisors, whose sum is σ = 8021637120. Its totient is φ = 537477120.

The previous prime is 2257831679. The next prime is 2257831687. The reversal of 2257831680 is 861387522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257831687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546791 + ... + 1548249.

Almost surely, 2^2257831680 is an apocalyptic number.

2257831680 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 2257831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010818560).

2257831680 is an abundant number, since it is smaller than the sum of its proper divisors (5763805440).

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

2257831680 is a wasteful number, since it uses less digits than its factorization.

2257831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2257831680 is about 47516.6463463069. The cubic root of 2257831680 is about 1311.8892926615.

The spelling of 2257831680 in words is "two billion, two hundred fifty-seven million, eight hundred thirty-one thousand, six hundred eighty".