2141961360 has 480 divisors, whose sum is σ = 8577950976. Its totient is φ = 432537600.

The previous prime is 2141961313. The next prime is 2141961379. The reversal of 2141961360 is 631691412.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8334352 + ... + 8334608.

Almost surely, 2^2141961360 is an apocalyptic number.

2141961360 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 2141961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288975488).

2141961360 is an abundant number, since it is smaller than the sum of its proper divisors (6435989616).

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

2141961360 is a wasteful number, since it uses less digits than its factorization.

2141961360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2141961360 is about 46281.3284165440. The cubic root of 2141961360 is about 1289.0523176085.

The spelling of 2141961360 in words is "two billion, one hundred forty-one million, nine hundred sixty-one thousand, three hundred sixty".