2001962976 has 192 divisors, whose sum is σ = 6047612928. Its totient is φ = 574414848.

The previous prime is 2001962969. The next prime is 2001963013. The reversal of 2001962976 is 6792691002.

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 31 ways as a sum of consecutive naturals, for example, 2694061 + ... + 2694803.

It is an arithmetic number, because the mean of its divisors is an integer number (31497984).

Almost surely, 2^2001962976 is an apocalyptic number.

2001962976 is a gapful number since it is divisible by the number (26) 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 2001962976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023806464).

2001962976 is an abundant number, since it is smaller than the sum of its proper divisors (4045649952).

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

2001962976 is a wasteful number, since it uses less digits than its factorization.

2001962976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 2001962976 is about 44743.3009063927. The cubic root of 2001962976 is about 1260.3331142427. Note that the first 3 decimals are identical.

The spelling of 2001962976 in words is "two billion, one million, nine hundred sixty-two thousand, nine hundred seventy-six".