2000919170880 has 672 divisors, whose sum is σ = 8233918894080. Its totient is φ = 456090808320.

The previous prime is 2000919170843. The next prime is 2000919170891. The reversal of 2000919170880 is 880719190002.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157906945 + ... + 157919615.

Almost surely, 2^{2000919170880} is an apocalyptic number.

2000919170880 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 2000919170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116959447040).

2000919170880 is an abundant number, since it is smaller than the sum of its proper divisors (6232999723200).

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

2000919170880 is a wasteful number, since it uses less digits than its factorization.

2000919170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13084 (or 13061 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 2000919170880 in words is "two trillion, nine hundred nineteen million, one hundred seventy thousand, eight hundred eighty".