2258820 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 582912.

The previous prime is 2258819. The next prime is 2258821. The reversal of 2258820 is 288522.

It is an interprime number because it is at equal distance from previous prime (2258819) and next prime (2258821).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2258821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25336 + ... + 25424.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2258820 is an apocalyptic number.

2258820 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 2258820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2258820 is an abundant number, since it is smaller than the sum of its proper divisors (4998780).

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

2258820 is a wasteful number, since it uses less digits than its factorization.

2258820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2258820 is about 1502.9371244334. The cubic root of 2258820 is about 131.2080682377.

It can be divided in two parts, 225 and 8820, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 2258820 in words is "two million, two hundred fifty-eight thousand, eight hundred twenty".