2121534988488 has 128 divisors (see below), whose sum is σ = 5969111040000. Its totient is φ = 698067429696.

The previous prime is 2121534988483. The next prime is 2121534988511. The reversal of 2121534988488 is 8848894351212.

2121534988488 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 534 + 98 + 8 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×2121534988488² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121534988483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92458345 + ... + 92481287.

It is an arithmetic number, because the mean of its divisors is an integer number (46633680000).

Almost surely, 2^{2121534988488} 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 2121534988488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984555520000).

2121534988488 is an abundant number, since it is smaller than the sum of its proper divisors (3847576051512).

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

2121534988488 is a wasteful number, since it uses less digits than its factorization.

2121534988488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28456 (or 28446 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 2121534988488 in words is "two trillion, one hundred twenty-one billion, five hundred thirty-four million, nine hundred eighty-eight thousand, four hundred eighty-eight".