2772000000 has 756 divisors, whose sum is σ = 12455465568. Its totient is φ = 576000000.

The previous prime is 2771999959. The next prime is 2772000001. The reversal of 2772000000 is 2772.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 251999995 + ... + 252000005.

Almost surely, 2^2772000000 is an apocalyptic number.

2772000000 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 2772000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227732784).

2772000000 is an abundant number, since it is smaller than the sum of its proper divisors (9683465568).

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

2772000000 is an frugal number, since it uses more digits than its factorization.

2772000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 2772000000 is about 52649.7863243527. The cubic root of 2772000000 is about 1404.7457990064.

Adding to 2772000000 its reverse (2772), we get a palindrome (2772002772).

Multiplying 2772000000 by its reverse (2772), we get a square (7683984000000 = 2772000²).

2772000000 divided by its reverse (2772) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 27 and 72000000, that added together give a palindrome (72000027).

The spelling of 2772000000 in words is "two billion, seven hundred seventy-two million", and thus it is an aban number.