2262960 has 120 divisors (see below), whose sum is σ = 8704800. Its totient is φ = 516096.

The previous prime is 2262959. The next prime is 2262971. The reversal of 2262960 is 692622.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4816 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

2^2262960 is an apocalyptic number.

2262960 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 2262960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352400).

2262960 is an abundant number, since it is smaller than the sum of its proper divisors (6441840).

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

2262960 is a wasteful number, since it uses less digits than its factorization.

2262960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2262960 is about 1504.3137970517. The cubic root of 2262960 is about 131.2881793691.

The spelling of 2262960 in words is "two million, two hundred sixty-two thousand, nine hundred sixty".