2154132232320 has 128 divisors (see below), whose sum is σ = 6877181969280. Its totient is φ = 573524582400.

The previous prime is 2154132232303. The next prime is 2154132232321. The reversal of 2154132232320 is 232322314512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2154132232321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322500 + ... + 2100540.

It is an arithmetic number, because the mean of its divisors is an integer number (53727984135).

Almost surely, 2^{2154132232320} is an apocalyptic number.

2154132232320 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 2154132232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438590984640).

2154132232320 is an abundant number, since it is smaller than the sum of its proper divisors (4723049736960).

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

2154132232320 is a wasteful number, since it uses less digits than its factorization.

2154132232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778694 (or 1778682 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 2154132232320 its reverse (232322314512), we get a palindrome (2386454546832).

The spelling of 2154132232320 in words is "two trillion, one hundred fifty-four billion, one hundred thirty-two million, two hundred thirty-two thousand, three hundred twenty".