2720348928 has 288 divisors, whose sum is σ = 9022379520. Its totient is φ = 801239040.

The previous prime is 2720348927. The next prime is 2720348951. The reversal of 2720348928 is 8298430272.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720348923) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2812701 + ... + 2813667.

Almost surely, 2^2720348928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511189760).

2720348928 is an abundant number, since it is smaller than the sum of its proper divisors (6302030592).

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

2720348928 is a wasteful number, since it uses less digits than its factorization.

2720348928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2720348928 is about 52156.9643288411. The cubic root of 2720348928 is about 1395.9660968825.

The spelling of 2720348928 in words is "two billion, seven hundred twenty million, three hundred forty-eight thousand, nine hundred twenty-eight".