2000960897664 has 128 divisors (see below), whose sum is σ = 5629119206400. Its totient is φ = 628005436416.

The previous prime is 2000960897567. The next prime is 2000960897669. The reversal of 2000960897664 is 4667980690002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2000960897669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347977 + ... + 2030519.

It is an arithmetic number, because the mean of its divisors is an integer number (43977493800).

Almost surely, 2^{2000960897664} is an apocalyptic number.

2000960897664 is a gapful number since it is divisible by the number (24) 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 2000960897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814559603200).

2000960897664 is an abundant number, since it is smaller than the sum of its proper divisors (3628158308736).

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

2000960897664 is a wasteful number, since it uses less digits than its factorization.

2000960897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682742 (or 1682730 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 2000960897664 in words is "two trillion, nine hundred sixty million, eight hundred ninety-seven thousand, six hundred sixty-four".