2291612160 has 160 divisors (see below), whose sum is σ = 7363635840. Its totient is φ = 607961088.

The previous prime is 2291612143. The next prime is 2291612207. The reversal of 2291612160 is 612161922.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758069 + ... + 1759371.

It is an arithmetic number, because the mean of its divisors is an integer number (46022724).

Almost surely, 2^2291612160 is an apocalyptic number.

2291612160 is a gapful number since it is divisible by the number (20) 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 2291612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681817920).

2291612160 is an abundant number, since it is smaller than the sum of its proper divisors (5072023680).

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

2291612160 is a wasteful number, since it uses less digits than its factorization.

2291612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2291612160 is about 47870.7860808656. The cubic root of 2291612160 is about 1318.3995294874.

The spelling of 2291612160 in words is "two billion, two hundred ninety-one million, six hundred twelve thousand, one hundred sixty".