2649136 has 60 divisors (see below), whose sum is σ = 6219840. Its totient is φ = 1088640.

The previous prime is 2649109. The next prime is 2649137. The reversal of 2649136 is 6319462.

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (7776) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 2649098 and 2649107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24250 + ... + 24358.

It is an arithmetic number, because the mean of its divisors is an integer number (103664).

2^2649136 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 2649136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109920).

2649136 is an abundant number, since it is smaller than the sum of its proper divisors (3570704).

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

2649136 is a wasteful number, since it uses less digits than its factorization.

2649136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 2649136 is about 1627.6166624854. The cubic root of 2649136 is about 138.3677093968.

The spelling of 2649136 in words is "two million, six hundred forty-nine thousand, one hundred thirty-six".