2000968676352 has 880 divisors, whose sum is σ = 6410773638720. Its totient is φ = 620702466048.

The previous prime is 2000968676347. The next prime is 2000968676383. The reversal of 2000968676352 is 2536768690002.

2000968676352 is a `hidden beast` number, since 200 + 0 + 9 + 6 + 86 + 7 + 6 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 7785870208 + ... + 7785870464.

It is an arithmetic number, because the mean of its divisors is an integer number (7284970044).

Almost surely, 2^{2000968676352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000968676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205386819360).

2000968676352 is an abundant number, since it is smaller than the sum of its proper divisors (4409804962368).

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

2000968676352 is a wasteful number, since it uses less digits than its factorization.

2000968676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2000968676352 in words is "two trillion, nine hundred sixty-eight million, six hundred seventy-six thousand, three hundred fifty-two".