2076016320 has 504 divisors, whose sum is σ = 8510284224. Its totient is φ = 462938112.

The previous prime is 2076016309. The next prime is 2076016333. The reversal of 2076016320 is 236106702.

It is a happy number.

2076016320 is a `hidden beast` number, since 20 + 7 + 6 + 0 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6632484 + ... + 6632796.

Almost surely, 2^2076016320 is an apocalyptic number.

2076016320 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 2076016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255142112).

2076016320 is an abundant number, since it is smaller than the sum of its proper divisors (6434267904).

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

2076016320 is a wasteful number, since it uses less digits than its factorization.

2076016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2076016320 is about 45563.3220913489. The cubic root of 2076016320 is about 1275.6854077161.

The spelling of 2076016320 in words is "two billion, seventy-six million, sixteen thousand, three hundred twenty".