2629368 has 128 divisors (see below), whose sum is σ = 8755200. Its totient is φ = 715392.

The previous prime is 2629351. The next prime is 2629369. The reversal of 2629368 is 8639262.

2629368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an Ulam number.

It is a d-powerful number, because it can be written as 2⁵ + 6 + 2²¹ + 9 + 3¹² + 6³ + 8³ .

Its product of digits (31104) is a multiple of the sum of its prime divisors (96).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55921 + ... + 55967.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2^2629368 is an apocalyptic number.

2629368 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 2629368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377600).

2629368 is an abundant number, since it is smaller than the sum of its proper divisors (6125832).

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

2629368 is a wasteful number, since it uses less digits than its factorization.

2629368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2629368 is about 1621.5326083678. The cubic root of 2629368 is about 138.0226805822.

The spelling of 2629368 in words is "two million, six hundred twenty-nine thousand, three hundred sixty-eight".