2472624 has 120 divisors (see below), whose sum is σ = 8666112. Its totient is φ = 639360.

The previous prime is 2472611. The next prime is 2472637. The reversal of 2472624 is 4262742.

It is a happy number.

2472624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2472611) and next prime (2472637).

It is a super-2 number, since 2×2472624² = 12227738890752, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10977 + ... + 11199.

2^2472624 is an apocalyptic number.

2472624 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 2472624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333056).

2472624 is an abundant number, since it is smaller than the sum of its proper divisors (6193488).

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

2472624 is a wasteful number, since it uses less digits than its factorization.

2472624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2472624 is about 1572.4579485633. The cubic root of 2472624 is about 135.2236621634.

The spelling of 2472624 in words is "two million, four hundred seventy-two thousand, six hundred twenty-four".