2145165984 has 192 divisors, whose sum is σ = 6770090880. Its totient is φ = 656916480.

The previous prime is 2145165943. The next prime is 2145166019. The reversal of 2145165984 is 4895615412.

2145165984 is a `hidden beast` number, since 2 + 1 + 4 + 51 + 6 + 598 + 4 = 666.

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, 3717504 + ... + 3718080.

It is an arithmetic number, because the mean of its divisors is an integer number (35260890).

Almost surely, 2^2145165984 is an apocalyptic number.

2145165984 is a gapful number since it is divisible by the number (24) 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 2145165984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385045440).

2145165984 is an abundant number, since it is smaller than the sum of its proper divisors (4624924896).

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

2145165984 is a wasteful number, since it uses less digits than its factorization.

2145165984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 926 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2145165984 is about 46315.9366093357. The cubic root of 2145165984 is about 1289.6948548122.

The spelling of 2145165984 in words is "two billion, one hundred forty-five million, one hundred sixty-five thousand, nine hundred eighty-four".