2720104000 has 112 divisors (see below), whose sum is σ = 6901470576. Its totient is φ = 1061376000.

The previous prime is 2720103983. The next prime is 2720104007. The reversal of 2720104000 is 4010272.

It can be written as a sum of positive squares in 8 ways, for example, as 2016369216 + 703734784 = 44904^2 + 26528^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2720104007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323854 + ... + 332146.

It is an arithmetic number, because the mean of its divisors is an integer number (61620273).

Almost surely, 2^2720104000 is an apocalyptic number.

2720104000 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 2720104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450735288).

2720104000 is an abundant number, since it is smaller than the sum of its proper divisors (4181366576).

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

2720104000 is an equidigital number, since it uses as much as digits as its factorization.

2720104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2720104000 is about 52154.6162865762. The cubic root of 2720104000 is about 1395.9242001191.

Adding to 2720104000 its reverse (4010272), we get a palindrome (2724114272).

The spelling of 2720104000 in words is "two billion, seven hundred twenty million, one hundred four thousand".