2163240829440 has 960 divisors, whose sum is σ = 8220981859200. Its totient is φ = 538525532160.

The previous prime is 2163240829417. The next prime is 2163240829441. The reversal of 2163240829440 is 449280423612.

2163240829440 is a `hidden beast` number, since 2 + 1 + 632 + 4 + 0 + 8 + 2 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2163240829440² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2163240829441) by changing a digit.

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, 1926304719 + ... + 1926305841.

It is an arithmetic number, because the mean of its divisors is an integer number (8563522770).

Almost surely, 2^{2163240829440} is an apocalyptic number.

2163240829440 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 2163240829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110490929600).

2163240829440 is an abundant number, since it is smaller than the sum of its proper divisors (6057741029760).

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

2163240829440 is a wasteful number, since it uses less digits than its factorization.

2163240829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2163240829440 in words is "two trillion, one hundred sixty-three billion, two hundred forty million, eight hundred twenty-nine thousand, four hundred forty".