2720380800 has 384 divisors, whose sum is σ = 9652953600. Its totient is φ = 670924800.

The previous prime is 2720380781. The next prime is 2720380807. The reversal of 2720380800 is 80830272.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720380807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12892695 + ... + 12892905.

It is an arithmetic number, because the mean of its divisors is an integer number (25137900).

Almost surely, 2^2720380800 is an apocalyptic number.

2720380800 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 2720380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826476800).

2720380800 is an abundant number, since it is smaller than the sum of its proper divisors (6932572800).

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

2720380800 is a wasteful number, since it uses less digits than its factorization.

2720380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2720380800 is about 52157.2698672007. The cubic root of 2720380800 is about 1395.9715486411.

The spelling of 2720380800 in words is "two billion, seven hundred twenty million, three hundred eighty thousand, eight hundred".