2538624 has 64 divisors (see below), whose sum is σ = 7368480. Its totient is φ = 768000.

The previous prime is 2538623. The next prime is 2538659. The reversal of 2538624 is 4268352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2538624² = 12889223626752, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹² + 5⁸ + 3³ + 8² + 6⁶ + 2²¹ + 4 .

It is a junction number, because it is equal to n+sod(n) for n = 2538591 and 2538600.

It is not an unprimeable number, because it can be changed into a prime (2538623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3924 + ... + 4524.

2^2538624 is an apocalyptic number.

2538624 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 2538624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684240).

2538624 is an abundant number, since it is smaller than the sum of its proper divisors (4829856).

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

2538624 is a wasteful number, since it uses less digits than its factorization.

2538624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2538624 is about 1593.3059969761. The cubic root of 2538624 is about 136.4162563792.

The spelling of 2538624 in words is "two million, five hundred thirty-eight thousand, six hundred twenty-four".