2938624 has 36 divisors (see below), whose sum is σ = 6324136. Its totient is φ = 1354752.

The previous prime is 2938609. The next prime is 2938627. The reversal of 2938624 is 4268392.

It is a super-2 number, since 2×2938624² = 17271022026752, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁷ + 9⁶ + 3¹¹ + 8³ + 6⁴ + 2²¹ + 4 .

It is a self number, because there is not a number n which added to its sum of digits gives 2938624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2887 + ... + 3769.

2^2938624 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 2938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162068).

2938624 is an abundant number, since it is smaller than the sum of its proper divisors (3385512).

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

2938624 is an equidigital number, since it uses as much as digits as its factorization.

2938624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 898 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 2938624 is about 1714.2415232399. The cubic root of 2938624 is about 143.2346222580.

The spelling of 2938624 in words is "two million, nine hundred thirty-eight thousand, six hundred twenty-four".