2144728031120 has 80 divisors (see below), whose sum is σ = 5069961922800. Its totient is φ = 843540480000.

The previous prime is 2144728031051. The next prime is 2144728031137. The reversal of 2144728031120 is 211308274412.

It is a Cunningham number, because it is equal to 1464489²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 120447867136 + 2024280163984 = 347056^2 + 1422772^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 14571656 + ... + 14718104.

It is an arithmetic number, because the mean of its divisors is an integer number (63374524035).

Almost surely, 2^{2144728031120} is an apocalyptic number.

2144728031120 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 2144728031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534980961400).

2144728031120 is an abundant number, since it is smaller than the sum of its proper divisors (2925233891680).

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

2144728031120 is a wasteful number, since it uses less digits than its factorization.

2144728031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149524 (or 149518 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 2144728031120 in words is "two trillion, one hundred forty-four billion, seven hundred twenty-eight million, thirty-one thousand, one hundred twenty".