2720609920 has 128 divisors (see below), whose sum is σ = 7455628800. Its totient is φ = 929955840.

The previous prime is 2720609893. The next prime is 2720609951. The reversal of 2720609920 is 299060272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2720609920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930176 + ... + 1931584.

It is an arithmetic number, because the mean of its divisors is an integer number (58247100).

Almost surely, 2^2720609920 is an apocalyptic number.

2720609920 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 2720609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727814400).

2720609920 is an abundant number, since it is smaller than the sum of its proper divisors (4735018880).

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

2720609920 is a wasteful number, since it uses less digits than its factorization.

2720609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 2720609920 is about 52159.4662549378. The cubic root of 2720609920 is about 1396.0107387455.

The spelling of 2720609920 in words is "two billion, seven hundred twenty million, six hundred nine thousand, nine hundred twenty".