2071360512 has 440 divisors, whose sum is σ = 7115552136. Its totient is φ = 594542592.

The previous prime is 2071360493. The next prime is 2071360513. The reversal of 2071360512 is 2150631702.

It is a happy number.

2071360512 is a `hidden beast` number, since 20 + 71 + 3 + 60 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 2070614016 = 864^2 + 45504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071360513) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18330568 + ... + 18330680.

Almost surely, 2^2071360512 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 2071360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557776068).

2071360512 is an abundant number, since it is smaller than the sum of its proper divisors (5044191624).

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

2071360512 is a wasteful number, since it uses less digits than its factorization.

2071360512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2071360512 is about 45512.2017924864. The cubic root of 2071360512 is about 1274.7310491534.

It can be divided in two parts, 20713 and 60512, that added together give a square (81225 = 285²).

The spelling of 2071360512 in words is "two billion, seventy-one million, three hundred sixty thousand, five hundred twelve".