2141790336 has 256 divisors, whose sum is σ = 7320172800. Its totient is φ = 611380224.

The previous prime is 2141790319. The next prime is 2141790353. The reversal of 2141790336 is 6330971412.

It is an interprime number because it is at equal distance from previous prime (2141790319) and next prime (2141790353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2141790336.

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 31 ways as a sum of consecutive naturals, for example, 1959006 + ... + 1960098.

It is an arithmetic number, because the mean of its divisors is an integer number (28594425).

Almost surely, 2^2141790336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660086400).

2141790336 is an abundant number, since it is smaller than the sum of its proper divisors (5178382464).

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

2141790336 is an frugal number, since it uses more digits than its factorization.

2141790336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2141790336 is about 46279.4807231023. The cubic root of 2141790336 is about 1289.0180087494.

The spelling of 2141790336 in words is "two billion, one hundred forty-one million, seven hundred ninety thousand, three hundred thirty-six".