2720192936960 has 88 divisors (see below), whose sum is σ = 6527412353760. Its totient is φ = 1087720833024.

The previous prime is 2720192936953. The next prime is 2720192936977. The reversal of 2720192936960 is 696392910272.

It is a happy number.

It is a super-2 number, since 2×2720192936960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2720192936896 and 2720192936905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15832637 + ... + 16003523.

Almost surely, 2^{2720192936960} is an apocalyptic number.

2720192936960 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 2720192936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263706176880).

2720192936960 is an abundant number, since it is smaller than the sum of its proper divisors (3807219416800).

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

2720192936960 is a wasteful number, since it uses less digits than its factorization.

2720192936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174021 (or 174003 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 56.

The spelling of 2720192936960 in words is "two trillion, seven hundred twenty billion, one hundred ninety-two million, nine hundred thirty-six thousand, nine hundred sixty".