2772022500 has 405 divisors, whose sum is σ = 9845536701. Its totient is φ = 682344000.

The previous prime is 2772022493. The next prime is 2772022501. The reversal of 2772022500 is 52202772.

2772022500 = 1³ + 2³ + ... + 324³.

It is a happy number.

The square root of 2772022500 is 52650.

It is a perfect power (a square), and thus also a powerful number.

2772022500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 2738010276 + 34012224 = 52326^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is not an unprimeable number, because it can be changed into a prime (2772022501) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 213232494 + ... + 213232506.

Almost surely, 2^2772022500 is an apocalyptic number.

2772022500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2772022500 is the 52650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772022500

2772022500 is an abundant number, since it is smaller than the sum of its proper divisors (7073514201).

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

2772022500 is an frugal number, since it uses more digits than its factorization.

2772022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The cubic root of 2772022500 is about 1404.7495997153.

The spelling of 2772022500 in words is "two billion, seven hundred seventy-two million, twenty-two thousand, five hundred".