2618960 has 40 divisors (see below), whose sum is σ = 6413280. Its totient is φ = 991872.

The previous prime is 2618953. The next prime is 2618983. The reversal of 2618960 is 698162.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659 + ... + 2381.

It is an arithmetic number, because the mean of its divisors is an integer number (160332).

2^2618960 is an apocalyptic number.

2618960 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 2618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206640).

2618960 is an abundant number, since it is smaller than the sum of its proper divisors (3794320).

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

2618960 is a wasteful number, since it uses less digits than its factorization.

2618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2618960 is about 1618.3201166642. The cubic root of 2618960 is about 137.8403250137.

The spelling of 2618960 in words is "two million, six hundred eighteen thousand, nine hundred sixty".