2772180 has 36 divisors (see below), whose sum is σ = 8409492. Its totient is φ = 739200.

The previous prime is 2772179. The next prime is 2772191. The reversal of 2772180 is 812772.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 646416 = 1458^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7521 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (233597).

2^2772180 is an apocalyptic number.

2772180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772180 is an abundant number, since it is smaller than the sum of its proper divisors (5637312).

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

2772180 is a wasteful number, since it uses less digits than its factorization.

2772180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15416 (or 15411 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2772180 is about 1664.9864864316. The cubic root of 2772180 is about 140.4776204102.

The spelling of 2772180 in words is "two million, seven hundred seventy-two thousand, one hundred eighty".