2070828960 has 192 divisors, whose sum is σ = 6683741568. Its totient is φ = 538804224.

The previous prime is 2070828931. The next prime is 2070828997. The reversal of 2070828960 is 698280702.

It is a happy number.

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, 3959259 + ... + 3959781.

It is an arithmetic number, because the mean of its divisors is an integer number (34811154).

Almost surely, 2^2070828960 is an apocalyptic number.

2070828960 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 2070828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341870784).

2070828960 is an abundant number, since it is smaller than the sum of its proper divisors (4612912608).

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

2070828960 is a wasteful number, since it uses less digits than its factorization.

2070828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2070828960 is about 45506.3617530560. The cubic root of 2070828960 is about 1274.6219994404.

The spelling of 2070828960 in words is "two billion, seventy million, eight hundred twenty-eight thousand, nine hundred sixty".