2722737351201 has 16 divisors (see below), whose sum is σ = 4291999766400. Its totient is φ = 1502199917568.

The previous prime is 2722737351199. The next prime is 2722737351287. The reversal of 2722737351201 is 1021537372272.

It is a happy number.

It is not a de Polignac number, because 2722737351201 - 2¹ = 2722737351199 is a prime.

It is a super-2 number, since 2×2722737351201² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2722737355201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235415936 + ... + 2235417153.

It is an arithmetic number, because the mean of its divisors is an integer number (268249985400).

Almost surely, 2^{2722737351201} is an apocalyptic number.

2722737351201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2722737351201 is a deficient number, since it is larger than the sum of its proper divisors (1569262415199).

2722737351201 is a wasteful number, since it uses less digits than its factorization.

2722737351201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470833128.

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 2722737351201 in words is "two trillion, seven hundred twenty-two billion, seven hundred thirty-seven million, three hundred fifty-one thousand, two hundred one".