2188513480032 has 192 divisors, whose sum is σ = 6964441585920. Its totient is φ = 663091660800.

The previous prime is 2188513479959. The next prime is 2188513480051. The reversal of 2188513480032 is 2300843158812.

2188513480032 is a `hidden beast` number, since 21 + 8 + 8 + 513 + 4 + 80 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2188513480032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97338232 + ... + 97360712.

It is an arithmetic number, because the mean of its divisors is an integer number (36273133260).

Almost surely, 2^{2188513480032} is an apocalyptic number.

2188513480032 is a gapful number since it is divisible by the number (22) 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 2188513480032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482220792960).

2188513480032 is an abundant number, since it is smaller than the sum of its proper divisors (4775928105888).

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

2188513480032 is a wasteful number, since it uses less digits than its factorization.

2188513480032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32754 (or 32740 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2188513480032 in words is "two trillion, one hundred eighty-eight billion, five hundred thirteen million, four hundred eighty thousand, thirty-two".