2772880 has 80 divisors (see below), whose sum is σ = 7392384. Its totient is φ = 957440.

The previous prime is 2772839. The next prime is 2772881. The reversal of 2772880 is 882772.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2772881) 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, 20172 + ... + 20308.

2^2772880 is an apocalyptic number.

2772880 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 2772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696192).

2772880 is an abundant number, since it is smaller than the sum of its proper divisors (4619504).

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

2772880 is a wasteful number, since it uses less digits than its factorization.

2772880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 2772880 is about 1665.1966850796. The cubic root of 2772880 is about 140.4894433628.

The spelling of 2772880 in words is "two million, seven hundred seventy-two thousand, eight hundred eighty".