2032501161600 has 2304 divisors, whose sum is σ = 9494954784000. Its totient is φ = 413459251200.

The previous prime is 2032501161541. The next prime is 2032501161601. The reversal of 2032501161600 is 61611052302.

2032501161600 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 50 + 1 + 1 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2032501161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7555766266 + ... + 7555766534.

It is an arithmetic number, because the mean of its divisors is an integer number (4121074125).

Almost surely, 2^{2032501161600} is an apocalyptic number.

2032501161600 is a gapful number since it is divisible by the number (20) 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 2032501161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747477392000).

2032501161600 is an abundant number, since it is smaller than the sum of its proper divisors (7462453622400).

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

2032501161600 is a wasteful number, since it uses less digits than its factorization.

2032501161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 2032501161600 in words is "two trillion, thirty-two billion, five hundred one million, one hundred sixty-one thousand, six hundred".