2104438133952 has 336 divisors, whose sum is σ = 7523251017984. Its totient is φ = 546400512000.

The previous prime is 2104438133947. The next prime is 2104438133969. The reversal of 2104438133952 is 2593318344012.

It is a happy number.

2104438133952 is a `hidden beast` number, since 2 + 10 + 443 + 81 + 33 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2104438133898 and 2104438133907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142850427 + ... + 142865157.

Almost surely, 2^{2104438133952} is an apocalyptic number.

2104438133952 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 2104438133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761625508992).

2104438133952 is an abundant number, since it is smaller than the sum of its proper divisors (5418812884032).

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

2104438133952 is a wasteful number, since it uses less digits than its factorization.

2104438133952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17988 (or 17975 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2104438133952 in words is "two trillion, one hundred four billion, four hundred thirty-eight million, one hundred thirty-three thousand, nine hundred fifty-two".