2722107006461 has 8 divisors (see below), whose sum is σ = 2762777744640. Its totient is φ = 2681437511808.

The previous prime is 2722107006433. The next prime is 2722107006517. The reversal of 2722107006461 is 1646007012272.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2722107006461 - 2³⁴ = 2704927137277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722107006961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4698260 + ... + 5245746.

It is an arithmetic number, because the mean of its divisors is an integer number (345347218080).

Almost surely, 2^{2722107006461} is an apocalyptic number.

It is an amenable number.

2722107006461 is a deficient number, since it is larger than the sum of its proper divisors (40670738179).

2722107006461 is an equidigital number, since it uses as much as digits as its factorization.

2722107006461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621763.

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 2722107006461 in words is "two trillion, seven hundred twenty-two billion, one hundred seven million, six thousand, four hundred sixty-one".