2071225728 has 480 divisors, whose sum is σ = 7353857280. Its totient is φ = 574801920.

The previous prime is 2071225633. The next prime is 2071225801. The reversal of 2071225728 is 8275221702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2071225692 and 2071225701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16308801 + ... + 16308927.

It is an arithmetic number, because the mean of its divisors is an integer number (15320536).

Almost surely, 2^2071225728 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 2071225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676928640).

2071225728 is an abundant number, since it is smaller than the sum of its proper divisors (5282631552).

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

2071225728 is a wasteful number, since it uses less digits than its factorization.

2071225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2071225728 is about 45510.7210226338. The cubic root of 2071225728 is about 1274.7033995199.

The spelling of 2071225728 in words is "two billion, seventy-one million, two hundred twenty-five thousand, seven hundred twenty-eight".