2141304256 has 224 divisors, whose sum is σ = 5664565760. Its totient is φ = 779341824.

The previous prime is 2141304229. The next prime is 2141304259. The reversal of 2141304256 is 6524031412.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141304259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4094011 + ... + 4094533.

It is an arithmetic number, because the mean of its divisors is an integer number (25288240).

Almost surely, 2^2141304256 is an apocalyptic number.

2141304256 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 2141304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832282880).

2141304256 is an abundant number, since it is smaller than the sum of its proper divisors (3523261504).

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

2141304256 is a wasteful number, since it uses less digits than its factorization.

2141304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2141304256 is about 46274.2288536503. The cubic root of 2141304256 is about 1288.9204870221.

Adding to 2141304256 its reverse (6524031412), we get a palindrome (8665335668).

The spelling of 2141304256 in words is "two billion, one hundred forty-one million, three hundred four thousand, two hundred fifty-six".