2538024 has 16 divisors (see below), whose sum is σ = 6345120. Its totient is φ = 846000.

The previous prime is 2538017. The next prime is 2538031. The reversal of 2538024 is 4208352.

It is an interprime number because it is at equal distance from previous prime (2538017) and next prime (2538031).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 105751 = 2538024 / (2 + 5 + 3 + 8 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 2537985 and 2538003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52852 + ... + 52899.

It is an arithmetic number, because the mean of its divisors is an integer number (396570).

2^2538024 is an apocalyptic number.

2538024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2538024 is an abundant number, since it is smaller than the sum of its proper divisors (3807096).

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

2538024 is a wasteful number, since it uses less digits than its factorization.

2538024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105760 (or 105756 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2538024 is about 1593.1176981002. The cubic root of 2538024 is about 136.4055082728.

The spelling of 2538024 in words is "two million, five hundred thirty-eight thousand, twenty-four".