2539666483200 has 2592 divisors, whose sum is σ = 11898000354240. Its totient is φ = 525533184000.

The previous prime is 2539666483199. The next prime is 2539666483213. The reversal of 2539666483200 is 23846669352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 10538035080 + ... + 10538035320.

Almost surely, 2^{2539666483200} is an apocalyptic number.

2539666483200 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 2539666483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949000177120).

2539666483200 is an abundant number, since it is smaller than the sum of its proper divisors (9358333871040).

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

2539666483200 is a wasteful number, since it uses less digits than its factorization.

2539666483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2539666483200 in words is "two trillion, five hundred thirty-nine billion, six hundred sixty-six million, four hundred eighty-three thousand, two hundred".