2154330334512 has 240 divisors, whose sum is σ = 6271854825600. Its totient is φ = 689741568000.

The previous prime is 2154330334433. The next prime is 2154330334517.

2154330334512 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 3 + 303 + 345 + 1 + 2 = 666.

2154330334512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2154330334512² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2154330334517) 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 47 ways as a sum of consecutive naturals, for example, 187800937 + ... + 187812407.

It is an arithmetic number, because the mean of its divisors is an integer number (26132728440).

Almost surely, 2^{2154330334512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154330334512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135927412800).

2154330334512 is an abundant number, since it is smaller than the sum of its proper divisors (4117524491088).

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

2154330334512 is a wasteful number, since it uses less digits than its factorization.

2154330334512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 2154330 and 334512, that added together give a palindrome (2488842).

The spelling of 2154330334512 in words is "two trillion, one hundred fifty-four billion, three hundred thirty million, three hundred thirty-four thousand, five hundred twelve".