2292624 has 100 divisors (see below), whose sum is σ = 6976860. Its totient is φ = 725760.

The previous prime is 2292623. The next prime is 2292643. The reversal of 2292624 is 4262922.

2292624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 1774224 = 720^2 + 1332^2 .

It is a super-2 number, since 2×2292624² = 10512249610752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2292623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37554 + ... + 37614.

2^2292624 is an apocalyptic number.

2292624 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 2292624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488430).

2292624 is an abundant number, since it is smaller than the sum of its proper divisors (4684236).

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

2292624 is a wasteful number, since it uses less digits than its factorization.

2292624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2292624 is about 1514.1413408265. The cubic root of 2292624 is about 131.8593543278.

It can be divided in two parts, 2292 and 624, that added together give a square (2916 = 54²).

The spelling of 2292624 in words is "two million, two hundred ninety-two thousand, six hundred twenty-four".