2262624 has 144 divisors (see below), whose sum is σ = 7641648. Its totient is φ = 580608.

The previous prime is 2262619. The next prime is 2262629. The reversal of 2262624 is 4262622.

It is an interprime number because it is at equal distance from previous prime (2262619) and next prime (2262629).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2262594 and 2262603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262629) 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 23 ways as a sum of consecutive naturals, for example, 61134 + ... + 61170.

It is an arithmetic number, because the mean of its divisors is an integer number (53067).

2^2262624 is an apocalyptic number.

2262624 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 2262624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820824).

2262624 is an abundant number, since it is smaller than the sum of its proper divisors (5379024).

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

2262624 is a wasteful number, since it uses less digits than its factorization.

2262624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 62 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2262624 is about 1504.2021140791. The cubic root of 2262624 is about 131.2816812410.

It can be divided in two parts, 226 and 2624, that added together give a triangular number (2850 = T₇₅).

The spelling of 2262624 in words is "two million, two hundred sixty-two thousand, six hundred twenty-four".