2539281263792 has 480 divisors, whose sum is σ = 6514683033600. Its totient is φ = 949081190400.

The previous prime is 2539281263777. The next prime is 2539281263863. The reversal of 2539281263792 is 2973621829352.

2539281263792 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 (59).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3336768692 + ... + 3336769452.

It is an arithmetic number, because the mean of its divisors is an integer number (13572256320).

Almost surely, 2^{2539281263792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2539281263792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257341516800).

2539281263792 is an abundant number, since it is smaller than the sum of its proper divisors (3975401769808).

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

2539281263792 is a wasteful number, since it uses less digits than its factorization.

2539281263792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1052 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 59.

The spelling of 2539281263792 in words is "two trillion, five hundred thirty-nine billion, two hundred eighty-one million, two hundred sixty-three thousand, seven hundred ninety-two".