2072870128 has 120 divisors (see below), whose sum is σ = 4871406960. Its totient is φ = 851235840.

The previous prime is 2072870123. The next prime is 2072870141. The reversal of 2072870128 is 8210782702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072870123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1895950 + ... + 1897042.

It is an arithmetic number, because the mean of its divisors is an integer number (40595058).

Almost surely, 2^2072870128 is an apocalyptic number.

2072870128 is a gapful number since it is divisible by the number (28) 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 2072870128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435703480).

2072870128 is an abundant number, since it is smaller than the sum of its proper divisors (2798536832).

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

2072870128 is a wasteful number, since it uses less digits than its factorization.

2072870128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 2072870128 is about 45528.7835110933. The cubic root of 2072870128 is about 1275.0406503507.

The spelling of 2072870128 in words is "two billion, seventy-two million, eight hundred seventy thousand, one hundred twenty-eight".