2720003328 has 270 divisors, whose sum is σ = 9438254826. Its totient is φ = 776853504.

The previous prime is 2720003327. The next prime is 2720003329. The reversal of 2720003328 is 8233000272.

It is an interprime number because it is at equal distance from previous prime (2720003327) and next prime (2720003329).

It can be written as a sum of positive squares in only one way, i.e., 1545433344 + 1174569984 = 39312^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720003327) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1014726 + ... + 1017402.

Almost surely, 2^2720003328 is an apocalyptic number.

2720003328 is a gapful number since it is divisible by the number (28) 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 2720003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719127413).

2720003328 is an abundant number, since it is smaller than the sum of its proper divisors (6718251498).

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

2720003328 is an equidigital number, since it uses as much as digits as its factorization.

2720003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2720003328 is about 52153.6511473550. The cubic root of 2720003328 is about 1395.9069786924.

The spelling of 2720003328 in words is "two billion, seven hundred twenty million, three thousand, three hundred twenty-eight".