2265624 has 64 divisors (see below), whose sum is σ = 6674400. Its totient is φ = 709632.

The previous prime is 2265623. The next prime is 2265631. The reversal of 2265624 is 4265622.

2265624 is a `hidden beast` number, since 2 + 2 + 656 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3364 + ... + 3980.

2^2265624 is an apocalyptic number.

2265624 is a gapful number since it is divisible by the number (24) 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 2265624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337200).

2265624 is an abundant number, since it is smaller than the sum of its proper divisors (4408776).

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

2265624 is a wasteful number, since it uses less digits than its factorization.

2265624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2265624 is about 1505.1989901671. The cubic root of 2265624 is about 131.3396774888.

The spelling of 2265624 in words is "two million, two hundred sixty-five thousand, six hundred twenty-four".