2649960 has 96 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 663552.

The previous prime is 2649931. The next prime is 2649967. The reversal of 2649960 is 699462.

2649960 is a `hidden beast` number, since 2 + 649 + 9 + 6 + 0 = 666.

2649960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1954404 + 695556 = 1398^2 + 834^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2649967) 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 23 ways as a sum of consecutive naturals, for example, 5904 + ... + 6336.

2^2649960 is an apocalyptic number.

2649960 is a gapful number since it is divisible by the number (20) 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 2649960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

2649960 is an abundant number, since it is smaller than the sum of its proper divisors (6490080).

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

2649960 is a wasteful number, since it uses less digits than its factorization.

2649960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2649960 is about 1627.8697736613. The cubic root of 2649960 is about 138.3820540955.

The spelling of 2649960 in words is "two million, six hundred forty-nine thousand, nine hundred sixty".