2611880 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 934912.

The previous prime is 2611879. The next prime is 2611901. The reversal of 2611880 is 881162.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15557 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

2^2611880 is an apocalyptic number.

2611880 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 2611880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2611880 is an abundant number, since it is smaller than the sum of its proper divisors (3919960).

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

2611880 is a wasteful number, since it uses less digits than its factorization.

2611880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 2611880 is about 1616.1311827943. The cubic root of 2611880 is about 137.7160020972.

The spelling of 2611880 in words is "two million, six hundred eleven thousand, eight hundred eighty".