2257668 has 108 divisors (see below), whose sum is σ = 7151872. Its totient is φ = 587520.

The previous prime is 2257667. The next prime is 2257687. The reversal of 2257668 is 8667522.

2257668 is a `hidden beast` number, since 22 + 576 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2³ + 2³ + 5⁹ + 7⁵ + 6⁵ + 6⁷ + 8 .

Its product of digits (40320) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (2257667) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72813 + ... + 72843.

2^2257668 is an apocalyptic number.

2257668 is a gapful number since it is divisible by the number (28) 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 2257668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575936).

2257668 is an abundant number, since it is smaller than the sum of its proper divisors (4894204).

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

2257668 is a wasteful number, since it uses less digits than its factorization.

2257668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2257668 is about 1502.5538259909. The cubic root of 2257668 is about 131.1857590383.

The spelling of 2257668 in words is "two million, two hundred fifty-seven thousand, six hundred sixty-eight".