2602880 has 96 divisors (see below), whose sum is σ = 7325640. Its totient is φ = 881664.

The previous prime is 2602879. The next prime is 2602889. The reversal of 2602880 is 882062.

2602880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31319 + ... + 31401.

2^2602880 is an apocalyptic number.

2602880 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 2602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662820).

2602880 is an abundant number, since it is smaller than the sum of its proper divisors (4722760).

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

2602880 is an equidigital number, since it uses as much as digits as its factorization.

2602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2602880 is about 1613.3443525794. The cubic root of 2602880 is about 137.5576397460.

The spelling of 2602880 in words is "two million, six hundred two thousand, eight hundred eighty".