2017961000 has 64 divisors (see below), whose sum is σ = 5151332160. Its totient is φ = 733800000.

The previous prime is 2017960993. The next prime is 2017961009. The reversal of 2017961000 is 1697102.

It is not an unprimeable number, because it can be changed into a prime (2017961009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80726 + ... + 102725.

It is an arithmetic number, because the mean of its divisors is an integer number (80489565).

Almost surely, 2^2017961000 is an apocalyptic number.

2017961000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2017961000 is an abundant number, since it is smaller than the sum of its proper divisors (3133371160).

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

2017961000 is a wasteful number, since it uses less digits than its factorization.

2017961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183483 (or 183469 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 2017961000 is about 44921.7208040832. The cubic root of 2017961000 is about 1263.6813893457.

The spelling of 2017961000 in words is "two billion, seventeen million, nine hundred sixty-one thousand".