2723566401 has 12 divisors (see below), whose sum is σ = 3935498112. Its totient is φ = 1815038136.

The previous prime is 2723566361. The next prime is 2723566403. The reversal of 2723566401 is 1046653272.

2723566401 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 5 + 6 + 640 + 1 = 666.

It is not a de Polignac number, because 2723566401 - 2¹⁷ = 2723435329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2723566403) 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 11 ways as a sum of consecutive naturals, for example, 29781 + ... + 79586.

It is an arithmetic number, because the mean of its divisors is an integer number (327958176).

Almost surely, 2^2723566401 is an apocalyptic number.

It is an amenable number.

2723566401 is a deficient number, since it is larger than the sum of its proper divisors (1211931711).

2723566401 is a wasteful number, since it uses less digits than its factorization.

2723566401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112140 (or 112137 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2723566401 is about 52187.7993500397. The cubic root of 2723566401 is about 1396.5162363132.

It can be divided in two parts, 27235 and 66401, that added together give a square (93636 = 306²).

The spelling of 2723566401 in words is "two billion, seven hundred twenty-three million, five hundred sixty-six thousand, four hundred one".