2159971194240 has 640 divisors, whose sum is σ = 8007461953920. Its totient is φ = 554457415680.

The previous prime is 2159971194233. The next prime is 2159971194313. The reversal of 2159971194240 is 424911799512.

2159971194240 is a `hidden beast` number, since 2 + 1 + 599 + 7 + 1 + 1 + 9 + 4 + 2 + 40 = 666.

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 (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 148618014 + ... + 148632546.

It is an arithmetic number, because the mean of its divisors is an integer number (12511659303).

Almost surely, 2^{2159971194240} is an apocalyptic number.

2159971194240 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 2159971194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003730976960).

2159971194240 is an abundant number, since it is smaller than the sum of its proper divisors (5847490759680).

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

2159971194240 is a wasteful number, since it uses less digits than its factorization.

2159971194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14672 (or 14651 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 2159971194240 in words is "two trillion, one hundred fifty-nine billion, nine hundred seventy-one million, one hundred ninety-four thousand, two hundred forty".