2649144 has 64 divisors (see below), whose sum is σ = 7223040. Its totient is φ = 806400.

The previous prime is 2649139. The next prime is 2649173. The reversal of 2649144 is 4419462.

It is a d-powerful number, because it can be written as 2²¹ + 6 + 4³ + 9⁶ + 1 + 4⁶ + 4⁷ .

Its product of digits (6912) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17469 + ... + 17619.

It is an arithmetic number, because the mean of its divisors is an integer number (112860).

2^2649144 is an apocalyptic number.

2649144 is a gapful number since it is divisible by the number (24) 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 2649144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611520).

2649144 is an abundant number, since it is smaller than the sum of its proper divisors (4573896).

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

2649144 is a wasteful number, since it uses less digits than its factorization.

2649144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2649144 is about 1627.6191200646. The cubic root of 2649144 is about 138.3678486800.

The spelling of 2649144 in words is "two million, six hundred forty-nine thousand, one hundred forty-four".