2121587104 has 288 divisors, whose sum is σ = 5616611280. Its totient is φ = 780337152.

The previous prime is 2121587081. The next prime is 2121587123. The reversal of 2121587104 is 4017851212.

It can be written as a sum of positive squares in 8 ways, for example, as 1100912400 + 1020674704 = 33180^2 + 31948^2 .

It is a super-2 number, since 2×2121587104² = 9002263679718213632, which contains 22 as substring.

It is an unprimeable number.

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, 21871984 + ... + 21872080.

Almost surely, 2^2121587104 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 2121587104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808305640).

2121587104 is an abundant number, since it is smaller than the sum of its proper divisors (3495024176).

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

2121587104 is a wasteful number, since it uses less digits than its factorization.

2121587104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 2121587104 is about 46060.6893565435. The cubic root of 2121587104 is about 1284.9521507111.

The spelling of 2121587104 in words is "two billion, one hundred twenty-one million, five hundred eighty-seven thousand, one hundred four".