2265880 has 32 divisors (see below), whose sum is σ = 5239440. Its totient is φ = 881280.

The previous prime is 2265877. The next prime is 2265881. The reversal of 2265880 is 885622.

2265880 = T₁₄₄ + T₁₄₅ + ... + T₂₅₄.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715 + ... + 2245.

2^2265880 is an apocalyptic number.

2265880 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 2265880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619720).

2265880 is an abundant number, since it is smaller than the sum of its proper divisors (2973560).

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

2265880 is a wasteful number, since it uses less digits than its factorization.

2265880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2265880 is about 1505.2840263552. The cubic root of 2265880 is about 131.3446241306.

The spelling of 2265880 in words is "two million, two hundred sixty-five thousand, eight hundred eighty".