2611980 has 96 divisors (see below), whose sum is σ = 9300480. Its totient is φ = 596160.

The previous prime is 2611979. The next prime is 2611981. The reversal of 2611980 is 891162.

It is an interprime number because it is at equal distance from previous prime (2611979) and next prime (2611981).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2611981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3435 + ... + 4125.

It is an arithmetic number, because the mean of its divisors is an integer number (96880).

2^2611980 is an apocalyptic number.

2611980 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 2611980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650240).

2611980 is an abundant number, since it is smaller than the sum of its proper divisors (6688500).

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

2611980 is a wasteful number, since it uses less digits than its factorization.

2611980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2611980 is about 1616.1621205807. The cubic root of 2611980 is about 137.7177596338.

The spelling of 2611980 in words is "two million, six hundred eleven thousand, nine hundred eighty".