2698720128 has 192 divisors, whose sum is σ = 8634487680. Its totient is φ = 803450880.

The previous prime is 2698720109. The next prime is 2698720133. The reversal of 2698720128 is 8210278962.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 461350 + ... + 467162.

It is an arithmetic number, because the mean of its divisors is an integer number (44971290).

Almost surely, 2^2698720128 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 2698720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317243840).

2698720128 is an abundant number, since it is smaller than the sum of its proper divisors (5935767552).

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

2698720128 is a wasteful number, since it uses less digits than its factorization.

2698720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2698720128 is about 51949.2071931805. The cubic root of 2698720128 is about 1392.2565916207.

The spelling of 2698720128 in words is "two billion, six hundred ninety-eight million, seven hundred twenty thousand, one hundred twenty-eight".