2772900 has 144 divisors (see below), whose sum is σ = 9721600. Its totient is φ = 673920.

The previous prime is 2772883. The next prime is 2772901. The reversal of 2772900 is 92772.

2772900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35061 + ... + 35139.

2^2772900 is an apocalyptic number.

2772900 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 2772900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860800).

2772900 is an abundant number, since it is smaller than the sum of its proper divisors (6948700).

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

2772900 is a wasteful number, since it uses less digits than its factorization.

2772900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2772900 is about 1665.2026903654. The cubic root of 2772900 is about 140.4897811322.

It can be divided in two parts, 27 and 72900, that added together give a palindrome (72927).

The spelling of 2772900 in words is "two million, seven hundred seventy-two thousand, nine hundred".