2864880 has 120 divisors (see below), whose sum is σ = 10097568. Its totient is φ = 726528.

The previous prime is 2864879. The next prime is 2864887. The reversal of 2864880 is 884682.

2864880 is a `hidden beast` number, since 2 + 8 + 648 + 8 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16474 + ... + 16646.

2^2864880 is an apocalyptic number.

2864880 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 2864880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048784).

2864880 is an abundant number, since it is smaller than the sum of its proper divisors (7232688).

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

2864880 is a wasteful number, since it uses less digits than its factorization.

2864880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

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

The square root of 2864880 is about 1692.5956398384. The cubic root of 2864880 is about 142.0263126535.

The spelling of 2864880 in words is "two million, eight hundred sixty-four thousand, eight hundred eighty".