2265408 has 140 divisors (see below), whose sum is σ = 7376160. Its totient is φ = 684288.

The previous prime is 2265391. The next prime is 2265413. The reversal of 2265408 is 8045622.

2265408 is a `hidden beast` number, since 2 + 2 + 654 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98485 + ... + 98507.

2^2265408 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 2265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688080).

2265408 is an abundant number, since it is smaller than the sum of its proper divisors (5110752).

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

2265408 is a wasteful number, since it uses less digits than its factorization.

2265408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2265408 is about 1505.1272371464. The cubic root of 2265408 is about 131.3355034699.

It can be divided in two parts, 2265 and 408, that multiplied together give a triangular number (924120 = T₁₃₅₉).

The spelling of 2265408 in words is "two million, two hundred sixty-five thousand, four hundred eight".