2503872 has 168 divisors, whose sum is σ = 8875776. Its totient is φ = 684288.

The previous prime is 2503871. The next prime is 2503873. The reversal of 2503872 is 2783052.

It is an interprime number because it is at equal distance from previous prime (2503871) and next prime (2503873).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2503871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108853 + ... + 108875.

It is an arithmetic number, because the mean of its divisors is an integer number (52832).

2^2503872 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 2503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437888).

2503872 is an abundant number, since it is smaller than the sum of its proper divisors (6371904).

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

2503872 is an equidigital number, since it uses as much as digits as its factorization.

2503872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2503872 is about 1582.3627902602. The cubic root of 2503872 is about 135.7909128537.

It can be divided in two parts, 2503 and 872, that added together give a cube (3375 = 15³).

The spelling of 2503872 in words is "two million, five hundred three thousand, eight hundred seventy-two".