2129322543840 has 480 divisors, whose sum is σ = 7661316247200. Its totient is φ = 556844875776.

The previous prime is 2129322543833. The next prime is 2129322543847. The reversal of 2129322543840 is 483452239212.

2129322543840 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 3 + 22 + 543 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2129322543833) and next prime (2129322543847).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129322543847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147360936 + ... + 147375384.

It is an arithmetic number, because the mean of its divisors is an integer number (15961075515).

Almost surely, 2^{2129322543840} is an apocalyptic number.

2129322543840 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 2129322543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830658123600).

2129322543840 is an abundant number, since it is smaller than the sum of its proper divisors (5531993703360).

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

2129322543840 is a wasteful number, since it uses less digits than its factorization.

2129322543840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14696 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2129322543840 in words is "two trillion, one hundred twenty-nine billion, three hundred twenty-two million, five hundred forty-three thousand, eight hundred forty".