2188315729504 has 96 divisors (see below), whose sum is σ = 4459078149120. Its totient is φ = 1056044121600.

The previous prime is 2188315729489. The next prime is 2188315729553. The reversal of 2188315729504 is 4059275138812.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 744576867 + ... + 744579805.

It is an arithmetic number, because the mean of its divisors is an integer number (46448730720).

Almost surely, 2^{2188315729504} 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 2188315729504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229539074560).

2188315729504 is an abundant number, since it is smaller than the sum of its proper divisors (2270762419616).

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

2188315729504 is a wasteful number, since it uses less digits than its factorization.

2188315729504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 2188315729504 in words is "two trillion, one hundred eighty-eight billion, three hundred fifteen million, seven hundred twenty-nine thousand, five hundred four".