2141641320 has 256 divisors, whose sum is σ = 8252375040. Its totient is φ = 432165888.

The previous prime is 2141641309. The next prime is 2141641321. The reversal of 2141641320 is 231461412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2141641321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246897 + ... + 255423.

It is an arithmetic number, because the mean of its divisors is an integer number (32235840).

Almost surely, 2^2141641320 is an apocalyptic number.

2141641320 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 2141641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126187520).

2141641320 is an abundant number, since it is smaller than the sum of its proper divisors (6110733720).

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

2141641320 is a wasteful number, since it uses less digits than its factorization.

2141641320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2141641320 is about 46277.8707375350. The cubic root of 2141641320 is about 1288.9881133920.

The spelling of 2141641320 in words is "two billion, one hundred forty-one million, six hundred forty-one thousand, three hundred twenty".