2109502144512 has 840 divisors, whose sum is σ = 7550234004096. Its totient is φ = 575984369664.

The previous prime is 2109502144487. The next prime is 2109502144513. The reversal of 2109502144512 is 2154412059012.

2109502144512 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 502 + 144 + 5 + 1 + 2 = 666.

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 (2109502144513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1922973148 + ... + 1922974244.

Almost surely, 2^{2109502144512} 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 2109502144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775117002048).

2109502144512 is an abundant number, since it is smaller than the sum of its proper divisors (5440731859584).

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

2109502144512 is an frugal number, since it uses more digits than its factorization.

2109502144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2109502144512 in words is "two trillion, one hundred nine billion, five hundred two million, one hundred forty-four thousand, five hundred twelve".