2257220 has 48 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 739200.

The previous prime is 2257207. The next prime is 2257237. The reversal of 2257220 is 227522.

2257220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 2⁴ + 2¹⁴ + 5⁷ + 7 + 2¹⁶ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2257192 and 2257201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2870 + ... + 3570.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

2^2257220 is an apocalyptic number.

2257220 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 2257220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2257220 is an abundant number, since it is smaller than the sum of its proper divisors (3403708).

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

2257220 is a wasteful number, since it uses less digits than its factorization.

2257220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2257220 is about 1502.4047390767. The cubic root of 2257220 is about 131.1770811890.

The spelling of 2257220 in words is "two million, two hundred fifty-seven thousand, two hundred twenty".