2709889072 has 80 divisors (see below), whose sum is σ = 6003901440. Its totient is φ = 1172864000.

The previous prime is 2709889027. The next prime is 2709889081.

2709889072 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966072 + ... + 968872.

It is an arithmetic number, because the mean of its divisors is an integer number (75048768).

Almost surely, 2^2709889072 is an apocalyptic number.

2709889072 is a gapful number since it is divisible by the number (22) 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 2709889072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001950720).

2709889072 is an abundant number, since it is smaller than the sum of its proper divisors (3294012368).

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

2709889072 is a wasteful number, since it uses less digits than its factorization.

2709889072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The square root of 2709889072 is about 52056.5948944031. The cubic root of 2709889072 is about 1394.1746160326.

The spelling of 2709889072 in words is "two billion, seven hundred nine million, eight hundred eighty-nine thousand, seventy-two".