2071536768 has 640 divisors, whose sum is σ = 7890981120. Its totient is φ = 525533184.

The previous prime is 2071536757. The next prime is 2071536781. The reversal of 2071536768 is 8676351702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28377180 + ... + 28377252.

It is an arithmetic number, because the mean of its divisors is an integer number (12329658).

Almost surely, 2^2071536768 is an apocalyptic number.

2071536768 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 2071536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945490560).

2071536768 is an abundant number, since it is smaller than the sum of its proper divisors (5819444352).

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

2071536768 is a wasteful number, since it uses less digits than its factorization.

2071536768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2071536768 is about 45514.1381111408. The cubic root of 2071536768 is about 1274.7672045565.

The spelling of 2071536768 in words is "two billion, seventy-one million, five hundred thirty-six thousand, seven hundred sixty-eight".