2071776960 has 224 divisors, whose sum is σ = 7973568000. Its totient is φ = 502225920.

The previous prime is 2071776919. The next prime is 2071776979. The reversal of 2071776960 is 696771702.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84141 + ... + 105939.

Almost surely, 2^2071776960 is an apocalyptic number.

2071776960 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 2071776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986784000).

2071776960 is an abundant number, since it is smaller than the sum of its proper divisors (5901791040).

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

2071776960 is a wasteful number, since it uses less digits than its factorization.

2071776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21836 (or 21820 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 2071776960 is about 45516.7766872831. The cubic root of 2071776960 is about 1274.8164718535.

The spelling of 2071776960 in words is "two billion, seventy-one million, seven hundred seventy-six thousand, nine hundred sixty".