2000816640 has 200 divisors, whose sum is σ = 7167035700. Its totient is φ = 533495808.

The previous prime is 2000816627. The next prime is 2000816677. The reversal of 2000816640 is 466180002.

2000816640 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 8 + 16 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1829101824 + 171714816 = 42768^2 + 13104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202536 + ... + 212184.

Almost surely, 2^2000816640 is an apocalyptic number.

2000816640 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 2000816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583517850).

2000816640 is an abundant number, since it is smaller than the sum of its proper divisors (5166219060).

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

2000816640 is an frugal number, since it uses more digits than its factorization.

2000816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2000816640 is about 44730.4889309294. The cubic root of 2000816640 is about 1260.0925102145.

Adding to 2000816640 its reverse (466180002), we get a palindrome (2466996642).

The spelling of 2000816640 in words is "two billion, eight hundred sixteen thousand, six hundred forty".