2880864 has 72 divisors (see below), whose sum is σ = 9369360. Its totient is φ = 822528.

The previous prime is 2880863. The next prime is 2880869. The reversal of 2880864 is 4680882.

It is a tau number, because it is divible by the number of its divisors (72).

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

2880864 is a modest number, since divided by 864 gives 288 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880863) 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, 1302 + ... + 2730.

It is an arithmetic number, because the mean of its divisors is an integer number (130130).

2^2880864 is an apocalyptic number.

2880864 is a gapful number since it is divisible by the number (24) 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 2880864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684680).

2880864 is an abundant number, since it is smaller than the sum of its proper divisors (6488496).

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

2880864 is a wasteful number, since it uses less digits than its factorization.

2880864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2880864 is about 1697.3108141999. The cubic root of 2880864 is about 142.2899583303.

The spelling of 2880864 in words is "two million, eight hundred eighty thousand, eight hundred sixty-four".