2538864 has 60 divisors (see below), whose sum is σ = 7379736. Its totient is φ = 844992.

The previous prime is 2538839. The next prime is 2538871. The reversal of 2538864 is 4688352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹³ + 5⁹ + 3⁷ + 8³ + 8⁵ + 6⁷ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3562 + ... + 4214.

2^2538864 is an apocalyptic number.

2538864 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 2538864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689868).

2538864 is an abundant number, since it is smaller than the sum of its proper divisors (4840872).

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

2538864 is an equidigital number, since it uses as much as digits as its factorization.

2538864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2538864 is about 1593.3813102958. The cubic root of 2538864 is about 136.4205551476.

It can be divided in two parts, 25388 and 64, that added together give a palindrome (25452).

The spelling of 2538864 in words is "two million, five hundred thirty-eight thousand, eight hundred sixty-four".