2033207609472 has 1152 divisors, whose sum is σ = 7046882519040. Its totient is φ = 579901980672.

The previous prime is 2033207609417. The next prime is 2033207609497. The reversal of 2033207609472 is 2749067023302.

2033207609472 is a `hidden beast` number, since 2 + 0 + 3 + 32 + 0 + 7 + 609 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14840931388 + ... + 14840931524.

It is an arithmetic number, because the mean of its divisors is an integer number (6117085520).

Almost surely, 2^{2033207609472} 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 2033207609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523441259520).

2033207609472 is an abundant number, since it is smaller than the sum of its proper divisors (5013674909568).

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

2033207609472 is a wasteful number, since it uses less digits than its factorization.

2033207609472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 2033207609472 in words is "two trillion, thirty-three billion, two hundred seven million, six hundred nine thousand, four hundred seventy-two".