2822430240081 has 27 divisors (see below), whose sum is σ = 4094647750011. Its totient is φ = 1873438516224.

The previous prime is 2822430240079. The next prime is 2822430240101. The reversal of 2822430240081 is 1800420342282.

The square root of 2822430240081 is 1680009.

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

2822430240081 is a `hidden beast` number, since 2 + 8 + 2 + 243 + 0 + 2 + 400 + 8 + 1 = 666.

2822430240081 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2778672294225 + 43757945856 = 1666935^2 + 209184^2 .

It is not a de Polignac number, because 2822430240081 - 2¹ = 2822430240079 is a prime.

It is a super-2 number, since 2×2822430240081² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2822430240181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1295285850 + ... + 1295288028.

Almost surely, 2^{2822430240081} is an apocalyptic number.

2822430240081 is the 1680009-th square number.

2822430240081 is the 840005-th centered octagonal number.

It is an amenable number.

2822430240081 is a deficient number, since it is larger than the sum of its proper divisors (1272217509930).

2822430240081 is an frugal number, since it uses more digits than its factorization.

2822430240081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 2822430240081 by its sum of digits (36), we get a square (101607488642916 = 10080054²).

The spelling of 2822430240081 in words is "two trillion, eight hundred twenty-two billion, four hundred thirty million, two hundred forty thousand, eighty-one".