2538756 has 48 divisors (see below), whose sum is σ = 7183680. Its totient is φ = 768960.

The previous prime is 2538751. The next prime is 2538769. The reversal of 2538756 is 6578352.

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 2⁸ + 5² + 3⁹ + 8 + 7⁷ + 5⁶ + 6⁸ .

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 2538756.

It is not an unprimeable number, because it can be changed into a prime (2538751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (149660).

2^2538756 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 2538756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591840).

2538756 is an abundant number, since it is smaller than the sum of its proper divisors (4644924).

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

2538756 is a wasteful number, since it uses less digits than its factorization.

2538756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2153 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2538756 is about 1593.3474197425. The cubic root of 2538756 is about 136.4186207354.

It can be divided in two parts, 253 and 8756, that added together give a palindrome (9009).

The spelling of 2538756 in words is "two million, five hundred thirty-eight thousand, seven hundred fifty-six".