2257899840 has 448 divisors, whose sum is σ = 9358579200. Its totient is φ = 501645312.

The previous prime is 2257899773. The next prime is 2257899871. The reversal of 2257899840 is 489987522.

2257899840 is a `hidden beast` number, since 22 + 578 + 9 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2257899840² = 10196223374944051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2237256 + ... + 2238264.

Almost surely, 2^2257899840 is an apocalyptic number.

2257899840 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 2257899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679289600).

2257899840 is an abundant number, since it is smaller than the sum of its proper divisors (7100679360).

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

2257899840 is a wasteful number, since it uses less digits than its factorization.

2257899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2257899840 is about 47517.3635632281. The cubic root of 2257899840 is about 1311.9024937451.

The spelling of 2257899840 in words is "two billion, two hundred fifty-seven million, eight hundred ninety-nine thousand, eight hundred forty".