2889360 has 60 divisors (see below), whose sum is σ = 9705852. Its totient is φ = 770304.

The previous prime is 2889353. The next prime is 2889361. The reversal of 2889360 is 639882.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 1115136 = 1332^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2889361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287 + ... + 2726.

2^2889360 is an apocalyptic number.

2889360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2889360 is an abundant number, since it is smaller than the sum of its proper divisors (6816492).

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

2889360 is a wasteful number, since it uses less digits than its factorization.

2889360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2889360 is about 1699.8117542834. The cubic root of 2889360 is about 142.4296975473.

It can be divided in two parts, 2889 and 360, that added together give a square (3249 = 57²).

The spelling of 2889360 in words is "two million, eight hundred eighty-nine thousand, three hundred sixty".