2140851168 has 48 divisors (see below), whose sum is σ = 6244151760. Its totient is φ = 713616768.

The previous prime is 2140851161. The next prime is 2140851169. The reversal of 2140851168 is 8611580412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2140851168³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140851161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1238055 + ... + 1239782.

It is an arithmetic number, because the mean of its divisors is an integer number (130086495).

Almost surely, 2^2140851168 is an apocalyptic number.

It is an amenable number.

2140851168 is an abundant number, since it is smaller than the sum of its proper divisors (4103300592).

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

2140851168 is a wasteful number, since it uses less digits than its factorization.

2140851168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477856 (or 2477842 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 2140851168 is about 46269.3329106872. The cubic root of 2140851168 is about 1288.8295711548.

The spelling of 2140851168 in words is "two billion, one hundred forty million, eight hundred fifty-one thousand, one hundred sixty-eight".