2772451836 has 288 divisors, whose sum is σ = 9034841088. Its totient is φ = 696084480.

The previous prime is 2772451819. The next prime is 2772451859. The reversal of 2772451836 is 6381542772.

It is a junction number, because it is equal to n+sod(n) for n = 2772451791 and 2772451800.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16601425 + ... + 16601591.

It is an arithmetic number, because the mean of its divisors is an integer number (31370976).

Almost surely, 2^2772451836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772451836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517420544).

2772451836 is an abundant number, since it is smaller than the sum of its proper divisors (6262389252).

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

2772451836 is a wasteful number, since it uses less digits than its factorization.

2772451836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 356 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2772451836 is about 52654.0771070959. The cubic root of 2772451836 is about 1404.8221193816.

The spelling of 2772451836 in words is "two billion, seven hundred seventy-two million, four hundred fifty-one thousand, eight hundred thirty-six".