2000817840 has 320 divisors, whose sum is σ = 7544088576. Its totient is φ = 428752896.

The previous prime is 2000817827. The next prime is 2000817881. The reversal of 2000817840 is 487180002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2000817798 and 2000817807.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2047432 + ... + 2048408.

Almost surely, 2^2000817840 is an apocalyptic number.

2000817840 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 2000817840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772044288).

2000817840 is an abundant number, since it is smaller than the sum of its proper divisors (5543270736).

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

2000817840 is a wasteful number, since it uses less digits than its factorization.

2000817840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2000817840 is about 44730.5023445970. The cubic root of 2000817840 is about 1260.0927621301.

Adding to 2000817840 its reverse (487180002), we get a palindrome (2487997842).

It can be divided in two parts, 2000 and 817840, that added together give a triangular number (819840 = T₁₂₈₀).

The spelling of 2000817840 in words is "two billion, eight hundred seventeen thousand, eight hundred forty".