2257890 has 32 divisors (see below), whose sum is σ = 5498496. Its totient is φ = 593280.

The previous prime is 2257883. The next prime is 2257909. The reversal of 2257890 is 987522.

2257890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1675 + ... + 2705.

It is an arithmetic number, because the mean of its divisors is an integer number (171828).

2^2257890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749248).

2257890 is an abundant number, since it is smaller than the sum of its proper divisors (3240606).

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

2257890 is a wasteful number, since it uses less digits than its factorization.

2257890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2257890 is about 1502.6276984004. The cubic root of 2257890 is about 131.1900587971.

The spelling of 2257890 in words is "two million, two hundred fifty-seven thousand, eight hundred ninety".