2141959680 has 640 divisors, whose sum is σ = 9192268800. Its totient is φ = 461832192.

The previous prime is 2141959667. The next prime is 2141959697. The reversal of 2141959680 is 869591412.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9192844 + ... + 9193076.

It is an arithmetic number, because the mean of its divisors is an integer number (14362920).

Almost surely, 2^2141959680 is an apocalyptic number.

2141959680 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 2141959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

2141959680 is an abundant number, since it is smaller than the sum of its proper divisors (7050309120).

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

2141959680 is a wasteful number, since it uses less digits than its factorization.

2141959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2141959680 is about 46281.3102666724. The cubic root of 2141959680 is about 1289.0519805951.

The spelling of 2141959680 in words is "two billion, one hundred forty-one million, nine hundred fifty-nine thousand, six hundred eighty".