2191144144 has 160 divisors (see below), whose sum is σ = 5557144320. Its totient is φ = 814178304.

The previous prime is 2191144117. The next prime is 2191144147. The reversal of 2191144144 is 4414411912.

It is a super-2 number, since 2×2191144144² = 9602225319570985472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191144147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337694 + ... + 1339330.

It is an arithmetic number, because the mean of its divisors is an integer number (34732152).

Almost surely, 2^2191144144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

2191144144 is an abundant number, since it is smaller than the sum of its proper divisors (3366000176).

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

2191144144 is a wasteful number, since it uses less digits than its factorization.

2191144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1719 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 2191144144 is about 46809.6586614344. The cubic root of 2191144144 is about 1298.8439711192.

The spelling of 2191144144 in words is "two billion, one hundred ninety-one million, one hundred forty-four thousand, one hundred forty-four".