2532305645100 has 864 divisors, whose sum is σ = 10063305907200. Its totient is φ = 517370112000.

The previous prime is 2532305645039. The next prime is 2532305645131. The reversal of 2532305645100 is 15465032352.

2532305645100 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 3 + 0 + 5 + 645 + 1 + 0 + 0 = 666.

2532305645100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1063545910 + ... + 1063548290.

It is an arithmetic number, because the mean of its divisors is an integer number (11647344800).

Almost surely, 2^{2532305645100} is an apocalyptic number.

2532305645100 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 2532305645100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031652953600).

2532305645100 is an abundant number, since it is smaller than the sum of its proper divisors (7531000262100).

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

2532305645100 is a wasteful number, since it uses less digits than its factorization.

2532305645100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2532305645100 in words is "two trillion, five hundred thirty-two billion, three hundred five million, six hundred forty-five thousand, one hundred".