2133403359552 has 336 divisors, whose sum is σ = 6389734937040. Its totient is φ = 679710818304.

The previous prime is 2133403359533. The next prime is 2133403359559. The reversal of 2133403359552 is 2559533043312.

2133403359552 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 4 + 0 + 3 + 3 + 595 + 52 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 356237084736 + 1777166274816 = 596856^2 + 1333104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2133403359498 and 2133403359507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133403359559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990896908 + ... + 990899060.

It is an arithmetic number, because the mean of its divisors is an integer number (19017068265).

Almost surely, 2^{2133403359552} 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 2133403359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194867468520).

2133403359552 is an abundant number, since it is smaller than the sum of its proper divisors (4256331577488).

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

2133403359552 is a wasteful number, since it uses less digits than its factorization.

2133403359552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 2133403359552 in words is "two trillion, one hundred thirty-three billion, four hundred three million, three hundred fifty-nine thousand, five hundred fifty-two".