2000981664 has 192 divisors, whose sum is σ = 6408823680. Its totient is φ = 602357760.

The previous prime is 2000981657. The next prime is 2000981681. The reversal of 2000981664 is 4661890002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643584 + ... + 1644800.

It is an arithmetic number, because the mean of its divisors is an integer number (33379290).

Almost surely, 2^2000981664 is an apocalyptic number.

2000981664 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 2000981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204411840).

2000981664 is an abundant number, since it is smaller than the sum of its proper divisors (4407842016).

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

2000981664 is a wasteful number, since it uses less digits than its factorization.

2000981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2000981664 is about 44732.3335407399. Note that the first 3 decimals coincide. The cubic root of 2000981664 is about 1260.1271527009.

The spelling of 2000981664 in words is "two billion, nine hundred eighty-one thousand, six hundred sixty-four".