2631168 has 60 divisors (see below), whose sum is σ = 7607028. Its totient is φ = 875520.

The previous prime is 2631149. The next prime is 2631173. The reversal of 2631168 is 8611362.

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

Its product of digits (1728) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4323 + ... + 4893.

2^2631168 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 2631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803514).

2631168 is an abundant number, since it is smaller than the sum of its proper divisors (4975860).

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

2631168 is an equidigital number, since it uses as much as digits as its factorization.

2631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 576 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2631168 is about 1622.0875438767. The cubic root of 2631168 is about 138.0541690304.

It can be divided in two parts, 263 and 1168, that added together give a triangular number (1431 = T₅₃).

The spelling of 2631168 in words is "two million, six hundred thirty-one thousand, one hundred sixty-eight".