2141213440 has 144 divisors (see below), whose sum is σ = 5261256000. Its totient is φ = 834748416.

The previous prime is 2141213429. The next prime is 2141213483. The reversal of 2141213440 is 443121412.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 14370486 + ... + 14370634.

It is an arithmetic number, because the mean of its divisors is an integer number (36536500).

Almost surely, 2^2141213440 is an apocalyptic number.

2141213440 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 2141213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630628000).

2141213440 is an abundant number, since it is smaller than the sum of its proper divisors (3120042560).

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

2141213440 is a wasteful number, since it uses less digits than its factorization.

2141213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2141213440 is about 46273.2475627117. The cubic root of 2141213440 is about 1288.9022650657.

Adding to 2141213440 its reverse (443121412), we get a palindrome (2584334852).

The spelling of 2141213440 in words is "two billion, one hundred forty-one million, two hundred thirteen thousand, four hundred forty".