2720429568000 has 624 divisors, whose sum is σ = 9837240285600. Its totient is φ = 723202867200.

The previous prime is 2720429567981. The next prime is 2720429568007. The reversal of 2720429568000 is 8659240272.

2720429568000 is a `hidden beast` number, since 27 + 20 + 42 + 9 + 568 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720429568007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930751296 + ... + 1930752704.

It is an arithmetic number, because the mean of its divisors is an integer number (15764808150).

Almost surely, 2^{2720429568000} is an apocalyptic number.

2720429568000 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 2720429568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918620142800).

2720429568000 is an abundant number, since it is smaller than the sum of its proper divisors (7116810717600).

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

2720429568000 is a wasteful number, since it uses less digits than its factorization.

2720429568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2720429568000 in words is "two trillion, seven hundred twenty billion, four hundred twenty-nine million, five hundred sixty-eight thousand".