2164133760 has 64 divisors (see below), whose sum is σ = 6898182480. Its totient is φ = 577101824.

The previous prime is 2164133749. The next prime is 2164133771. The reversal of 2164133760 is 673314612.

It is an interprime number because it is at equal distance from previous prime (2164133749) and next prime (2164133771).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 561657 + ... + 565496.

Almost surely, 2^2164133760 is an apocalyptic number.

2164133760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164133760 is an abundant number, since it is smaller than the sum of its proper divisors (4734048720).

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

2164133760 is a wasteful number, since it uses less digits than its factorization.

2164133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127175 (or 1127163 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2164133760 is about 46520.2510741290. The cubic root of 2164133760 is about 1293.4849103768.

The spelling of 2164133760 in words is "two billion, one hundred sixty-four million, one hundred thirty-three thousand, seven hundred sixty".