2772640 has 96 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 967680.

The previous prime is 2772631. The next prime is 2772643. The reversal of 2772640 is 462772.

It is a junction number, because it is equal to n+sod(n) for n = 2772599 and 2772608.

It is not an unprimeable number, because it can be changed into a prime (2772643) 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, 64459 + ... + 64501.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

2^2772640 is an apocalyptic number.

2772640 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 2772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2772640 is an abundant number, since it is smaller than the sum of its proper divisors (4678496).

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

2772640 is a wasteful number, since it uses less digits than its factorization.

2772640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2772640 is about 1665.1246199609. The cubic root of 2772640 is about 140.4853900032.

The spelling of 2772640 in words is "two million, seven hundred seventy-two thousand, six hundred forty".