2538432691200 has 2640 divisors, whose sum is σ = 11351594284800. Its totient is φ = 559891906560.

The previous prime is 2538432691199. The next prime is 2538432691217. The reversal of 2538432691200 is 21962348352.

2538432691200 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 432 + 6 + 9 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30583526359 + ... + 30583526441.

It is an arithmetic number, because the mean of its divisors is an integer number (4299846320).

Almost surely, 2^{2538432691200} is an apocalyptic number.

2538432691200 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 2538432691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675797142400).

2538432691200 is an abundant number, since it is smaller than the sum of its proper divisors (8813161593600).

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

2538432691200 is an equidigital number, since it uses as much as digits as its factorization.

2538432691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2538432691200 in words is "two trillion, five hundred thirty-eight billion, four hundred thirty-two million, six hundred ninety-one thousand, two hundred".