2722814001 has 32 divisors (see below), whose sum is σ = 4064411520. Its totient is φ = 1801492992.

The previous prime is 2722813967. The next prime is 2722814009. The reversal of 2722814001 is 1004182272.

It is not a de Polignac number, because 2722814001 - 2⁶ = 2722813937 is a prime.

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 (2722814009) 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 31 ways as a sum of consecutive naturals, for example, 2786425 + ... + 2787401.

It is an arithmetic number, because the mean of its divisors is an integer number (127012860).

Almost surely, 2^2722814001 is an apocalyptic number.

It is an amenable number.

2722814001 is a deficient number, since it is larger than the sum of its proper divisors (1341597519).

2722814001 is a wasteful number, since it uses less digits than its factorization.

2722814001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2722814001 is about 52180.5902707127. The cubic root of 2722814001 is about 1396.3876260728.

Adding to 2722814001 its reverse (1004182272), we get a palindrome (3726996273).

The spelling of 2722814001 in words is "two billion, seven hundred twenty-two million, eight hundred fourteen thousand, one".