2158901821440 has 2048 divisors, whose sum is σ = 9808481894400. Its totient is φ = 438262824960.

The previous prime is 2158901821423. The next prime is 2158901821441. The reversal of 2158901821440 is 441281098512.

2158901821440 is a `hidden beast` number, since 2 + 1 + 589 + 0 + 1 + 8 + 21 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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 (2158901821441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12479201194 + ... + 12479201366.

It is an arithmetic number, because the mean of its divisors is an integer number (4789297800).

Almost surely, 2^{2158901821440} is an apocalyptic number.

2158901821440 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 2158901821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904240947200).

2158901821440 is an abundant number, since it is smaller than the sum of its proper divisors (7649580072960).

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

2158901821440 is a wasteful number, since it uses less digits than its factorization.

2158901821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 2158901821440 in words is "two trillion, one hundred fifty-eight billion, nine hundred one million, eight hundred twenty-one thousand, four hundred forty".