2032209793152 has 1152 divisors, whose sum is σ = 7877700230400. Its totient is φ = 515388303360.

The previous prime is 2032209793099. The next prime is 2032209793171. The reversal of 2032209793152 is 2513979022302.

2032209793152 is a `hidden beast` number, since 2 + 0 + 322 + 0 + 9 + 7 + 9 + 315 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2032209793098 and 2032209793107.

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, 720895999 + ... + 720898817.

It is an arithmetic number, because the mean of its divisors is an integer number (6838281450).

Almost surely, 2^{2032209793152} is an apocalyptic number.

2032209793152 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 2032209793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938850115200).

2032209793152 is an abundant number, since it is smaller than the sum of its proper divisors (5845490437248).

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

2032209793152 is a wasteful number, since it uses less digits than its factorization.

2032209793152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2032209793152 in words is "two trillion, thirty-two billion, two hundred nine million, seven hundred ninety-three thousand, one hundred fifty-two".