2257024 has 64 divisors (see below), whose sum is σ = 5630400. Its totient is φ = 875520.

The previous prime is 2257007. The next prime is 2257049. The reversal of 2257024 is 4207522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2256986 and 2257004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9742 + ... + 9970.

It is an arithmetic number, because the mean of its divisors is an integer number (87975).

2^2257024 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 2257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815200).

2257024 is an abundant number, since it is smaller than the sum of its proper divisors (3373376).

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

2257024 is a wasteful number, since it uses less digits than its factorization.

2257024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2257024 is about 1502.3395088994. The cubic root of 2257024 is about 131.1732842689.

The spelling of 2257024 in words is "two million, two hundred fifty-seven thousand, twenty-four".