2649152 has 56 divisors (see below), whose sum is σ = 5925312. Its totient is φ = 1164800.

The previous prime is 2649139. The next prime is 2649173. The reversal of 2649152 is 2519462.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37277 + ... + 37347.

2^2649152 is an apocalyptic number.

2649152 is a gapful number since it is divisible by the number (22) 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 2649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962656).

2649152 is an abundant number, since it is smaller than the sum of its proper divisors (3276160).

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

2649152 is a wasteful number, since it uses less digits than its factorization.

2649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 2649152 is about 1627.6215776402. The cubic root of 2649152 is about 138.3679879630.

The spelling of 2649152 in words is "two million, six hundred forty-nine thousand, one hundred fifty-two".