2141344296 has 384 divisors, whose sum is σ = 7584192000. Its totient is φ = 554770944.

The previous prime is 2141344277. The next prime is 2141344297. The reversal of 2141344296 is 6924431412.

2141344296 is a `hidden beast` number, since 21 + 4 + 1 + 344 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2141344296.

It is not an unprimeable number, because it can be changed into a prime (2141344297) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10869670 + ... + 10869866.

It is an arithmetic number, because the mean of its divisors is an integer number (19750500).

Almost surely, 2^2141344296 is an apocalyptic number.

2141344296 is a gapful number since it is divisible by the number (26) 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 2141344296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096000).

2141344296 is an abundant number, since it is smaller than the sum of its proper divisors (5442847704).

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

2141344296 is a wasteful number, since it uses less digits than its factorization.

2141344296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2141344296 is about 46274.6614898478. The cubic root of 2141344296 is about 1288.9285207636.

The spelling of 2141344296 in words is "two billion, one hundred forty-one million, three hundred forty-four thousand, two hundred ninety-six".