2629744 has 40 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 1183488.

The previous prime is 2629729. The next prime is 2629763. The reversal of 2629744 is 4479262.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2¹⁹ + 6⁵ + 2²¹ + 9 + 7 + 4⁴ + 4⁴ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9642 + ... + 9910.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

2^2629744 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 2629744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2629744 is an abundant number, since it is smaller than the sum of its proper divisors (2994896).

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

2629744 is a wasteful number, since it uses less digits than its factorization.

2629744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 2629744 is about 1621.6485439207. The cubic root of 2629744 is about 138.0292593563.

The spelling of 2629744 in words is "two million, six hundred twenty-nine thousand, seven hundred forty-four".