2896560 has 120 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 767232.

The previous prime is 2896559. The next prime is 2896561. The reversal of 2896560 is 656982.

2896560 is a `hidden beast` number, since 2 + 8 + 96 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2896559) and next prime (2896561).

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 not an unprimeable number, because it can be changed into a prime (2896561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19366 + ... + 19514.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

2^2896560 is an apocalyptic number.

2896560 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 2896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077800).

2896560 is an abundant number, since it is smaller than the sum of its proper divisors (7259040).

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

2896560 is a wasteful number, since it uses less digits than its factorization.

2896560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2896560 is about 1701.9283181145. The cubic root of 2896560 is about 142.5479063305.

The spelling of 2896560 in words is "two million, eight hundred ninety-six thousand, five hundred sixty".