2177980 has 48 divisors (see below), whose sum is σ = 5354496. Its totient is φ = 728640.

The previous prime is 2177977. The next prime is 2177983. The reversal of 2177980 is 897712.

2177980 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2177977) and next prime (2177983).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

2177980 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2177983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6415 + ... + 6745.

It is an arithmetic number, because the mean of its divisors is an integer number (111552).

2^2177980 is an apocalyptic number.

2177980 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 2177980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677248).

2177980 is an abundant number, since it is smaller than the sum of its proper divisors (3176516).

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

2177980 is a wasteful number, since it uses less digits than its factorization.

2177980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 2177980 is about 1475.7980891707. The cubic root of 2177980 is about 129.6237642496.

The spelling of 2177980 in words is "two million, one hundred seventy-seven thousand, nine hundred eighty".