2208960 has 168 divisors, whose sum is σ = 8321040. Its totient is φ = 534528.

The previous prime is 2208949. The next prime is 2208977. The reversal of 2208960 is 698022.

It is a super-3 number, since 3×2208960³ = 32335889333649408000, which contains 333 as substring.

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, 37411 + ... + 37469.

It is an arithmetic number, because the mean of its divisors is an integer number (49530).

2^2208960 is an apocalyptic number.

2208960 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 2208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160520).

2208960 is an abundant number, since it is smaller than the sum of its proper divisors (6112080).

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

2208960 is a wasteful number, since it uses less digits than its factorization.

2208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2208960 is about 1486.2570437175. The cubic root of 2208960 is about 130.2354706673.

It can be divided in two parts, 220 and 8960, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 2208960 in words is "two million, two hundred eight thousand, nine hundred sixty".