2772500 has 30 divisors (see below), whose sum is σ = 6068370. Its totient is φ = 1108000.

The previous prime is 2772481. The next prime is 2772529. The reversal of 2772500 is 52772.

It can be written as a sum of positive squares in 5 ways, for example, as 1976836 + 795664 = 1406^2 + 892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1946 + ... + 3054.

It is an arithmetic number, because the mean of its divisors is an integer number (202279).

2^2772500 is an apocalyptic number.

2772500 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 2772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034185).

2772500 is an abundant number, since it is smaller than the sum of its proper divisors (3295870).

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

2772500 is a wasteful number, since it uses less digits than its factorization.

2772500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 2772500 is about 1665.0825805347. The cubic root of 2772500 is about 140.4830254354.

It can be divided in two parts, 27 and 72500, that added together give a palindrome (72527).

The spelling of 2772500 in words is "two million, seven hundred seventy-two thousand, five hundred".