2889520 has 40 divisors (see below), whose sum is σ = 7075440. Its totient is φ = 1094400.

The previous prime is 2889511. The next prime is 2889529. The reversal of 2889520 is 259882.

It is an interprime number because it is at equal distance from previous prime (2889511) and next prime (2889529).

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

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2889529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570 + ... + 2470.

It is an arithmetic number, because the mean of its divisors is an integer number (176886).

2^2889520 is an apocalyptic number.

2889520 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 2889520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537720).

2889520 is an abundant number, since it is smaller than the sum of its proper divisors (4185920).

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

2889520 is a wasteful number, since it uses less digits than its factorization.

2889520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 2889520 is about 1699.8588176669. The cubic root of 2889520 is about 142.4323265413.

The spelling of 2889520 in words is "two million, eight hundred eighty-nine thousand, five hundred twenty".