2772142641 has 12 divisors (see below), whose sum is σ = 4013459268. Its totient is φ = 1843824384.

The previous prime is 2772142589. The next prime is 2772142663. The reversal of 2772142641 is 1462412772.

2772142641 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 1 + 4 + 2 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138297600 + 2633845041 = 11760^2 + 51321^2 .

It is not a de Polignac number, because 2772142641 - 2⁶ = 2772142577 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2772142596 and 2772142605.

It is not an unprimeable number, because it can be changed into a prime (2772147641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351780 + ... + 359573.

It is an arithmetic number, because the mean of its divisors is an integer number (334454939).

Almost surely, 2^2772142641 is an apocalyptic number.

It is an amenable number.

2772142641 is a deficient number, since it is larger than the sum of its proper divisors (1241316627).

2772142641 is a wasteful number, since it uses less digits than its factorization.

2772142641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711792 (or 711789 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2772142641 is about 52651.1409278090. The cubic root of 2772142641 is about 1404.7698936323.

The spelling of 2772142641 in words is "two billion, seven hundred seventy-two million, one hundred forty-two thousand, six hundred forty-one".