2880735 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 1198080.

The previous prime is 2880733. The next prime is 2880739. The reversal of 2880735 is 5370882.

It is not a de Polignac number, because 2880735 - 2¹ = 2880733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2880696 and 2880705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36426 + ... + 36504.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2880735 is an apocalyptic number.

2880735 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2880735 is a wasteful number, since it uses less digits than its factorization.

2880735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2880735 is about 1697.2728124848. The cubic root of 2880735 is about 142.2878344676.

The spelling of 2880735 in words is "two million, eight hundred eighty thousand, seven hundred thirty-five".