2001736968 has 64 divisors (see below), whose sum is σ = 6239185920. Its totient is φ = 519931200.

The previous prime is 2001736949. The next prime is 2001736981. The reversal of 2001736968 is 8696371002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539748 + ... + 543443.

It is an arithmetic number, because the mean of its divisors is an integer number (97487280).

Almost surely, 2^2001736968 is an apocalyptic number.

2001736968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2001736968 is an abundant number, since it is smaller than the sum of its proper divisors (4237448952).

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

2001736968 is a wasteful number, since it uses less digits than its factorization.

2001736968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083218 (or 1083214 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2001736968 is about 44740.7752279730. The cubic root of 2001736968 is about 1260.2856847797.

The spelling of 2001736968 in words is "two billion, one million, seven hundred thirty-six thousand, nine hundred sixty-eight".