2631888 has 90 divisors (see below), whose sum is σ = 8591154. Its totient is φ = 749952.

The previous prime is 2631887. The next prime is 2631917. The reversal of 2631888 is 8881362.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 345744 = 1512^2 + 588^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6870 + ... + 7242.

2^2631888 is an apocalyptic number.

2631888 is a gapful number since it is divisible by the number (28) 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 2631888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295577).

2631888 is an abundant number, since it is smaller than the sum of its proper divisors (5959266).

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

2631888 is a wasteful number, since it uses less digits than its factorization.

2631888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

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

The square root of 2631888 is about 1622.3094649295. The cubic root of 2631888 is about 138.0667603887.

The spelling of 2631888 in words is "two million, six hundred thirty-one thousand, eight hundred eighty-eight".