2722414207680 has 448 divisors, whose sum is σ = 9794145715200. Its totient is φ = 711724769280.

The previous prime is 2722414207679. The next prime is 2722414207687. The reversal of 2722414207680 is 867024142272.

2722414207680 is a `hidden beast` number, since 2 + 7 + 22 + 414 + 207 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2722414207687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109793364 + ... + 109818156.

It is an arithmetic number, because the mean of its divisors is an integer number (21861932400).

Almost surely, 2^{2722414207680} is an apocalyptic number.

2722414207680 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 2722414207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897072857600).

2722414207680 is an abundant number, since it is smaller than the sum of its proper divisors (7071731507520).

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

2722414207680 is a wasteful number, since it uses less digits than its factorization.

2722414207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069 (or 25053 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 2722414207680 in words is "two trillion, seven hundred twenty-two billion, four hundred fourteen million, two hundred seven thousand, six hundred eighty".