2613888 has 48 divisors (see below), whose sum is σ = 7525050. Its totient is φ = 870912.

The previous prime is 2613883. The next prime is 2613899. The reversal of 2613888 is 8883162.

It can be written as a sum of positive squares in only one way, i.e., 2585664 + 28224 = 1608^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (2613883) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18 + ... + 2286.

2^2613888 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 2613888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762525).

2613888 is an abundant number, since it is smaller than the sum of its proper divisors (4911162).

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

2613888 is a wasteful number, since it uses less digits than its factorization.

2613888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2274 counting only the distinct ones).

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

The square root of 2613888 is about 1616.7523001375. The cubic root of 2613888 is about 137.7512848432.

The spelling of 2613888 in words is "two million, six hundred thirteen thousand, eight hundred eighty-eight".