2161875744 has 216 divisors, whose sum is σ = 7300919808. Its totient is φ = 617258880.

The previous prime is 2161875733. The next prime is 2161875767. The reversal of 2161875744 is 4475781612.

2161875744 is a `hidden beast` number, since 21 + 618 + 7 + 5 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 2161875744.

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 35 ways as a sum of consecutive naturals, for example, 1468929 + ... + 1470399.

Almost surely, 2^2161875744 is an apocalyptic number.

2161875744 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 2161875744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650459904).

2161875744 is an abundant number, since it is smaller than the sum of its proper divisors (5139044064).

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

2161875744 is an frugal number, since it uses more digits than its factorization.

2161875744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1483 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 2161875744 is about 46495.9755677844. The cubic root of 2161875744 is about 1293.0348879750.

The spelling of 2161875744 in words is "two billion, one hundred sixty-one million, eight hundred seventy-five thousand, seven hundred forty-four".