2361888 has 72 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 768384.

The previous prime is 2361883. The next prime is 2361899. The reversal of 2361888 is 8881632.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2361883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16923 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

2^2361888 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 2361888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2361888 is an abundant number, since it is smaller than the sum of its proper divisors (4517712).

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

2361888 is a wasteful number, since it uses less digits than its factorization.

2361888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2361888 is about 1536.8435183844. The cubic root of 2361888 is about 133.1740987973.

It can be divided in two parts, 236188 and 8, that added together give a square (236196 = 486²).

The spelling of 2361888 in words is "two million, three hundred sixty-one thousand, eight hundred eighty-eight".