2646960 has 80 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 686080.

The previous prime is 2646937. The next prime is 2646967. The reversal of 2646960 is 696462.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2646967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9706 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

2^2646960 is an apocalyptic number.

2646960 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 2646960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

2646960 is an abundant number, since it is smaller than the sum of its proper divisors (5790000).

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

2646960 is a wasteful number, since it uses less digits than its factorization.

2646960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2646960 is about 1626.9480630924. The cubic root of 2646960 is about 138.3298139457.

The spelling of 2646960 in words is "two million, six hundred forty-six thousand, nine hundred sixty".