2722430717960 has 64 divisors (see below), whose sum is σ = 6250320748080. Its totient is φ = 1066837524480.

The previous prime is 2722430717933. The next prime is 2722430717969. The reversal of 2722430717960 is 697170342272.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2138303742436 + 584126975524 = 1462294^2 + 764282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2722430717899 and 2722430717908.

It is not an unprimeable number, because it can be changed into a prime (2722430717969) 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, 472700 + ... + 2380820.

Almost surely, 2^{2722430717960} is an apocalyptic number.

2722430717960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2722430717960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125160374040).

2722430717960 is an abundant number, since it is smaller than the sum of its proper divisors (3527890030120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2722430717960 is a wasteful number, since it uses less digits than its factorization.

2722430717960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908858 (or 1908854 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 2722430717960 in words is "two trillion, seven hundred twenty-two billion, four hundred thirty million, seven hundred seventeen thousand, nine hundred sixty".