2539349960784 has 640 divisors, whose sum is σ = 8791223992320. Its totient is φ = 612723916800.

The previous prime is 2539349960729. The next prime is 2539349960813. The reversal of 2539349960784 is 4870699439352.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1957863624 + ... + 1957864920.

It is an arithmetic number, because the mean of its divisors is an integer number (13736287488).

Almost surely, 2^{2539349960784} is an apocalyptic number.

2539349960784 is a gapful number since it is divisible by the number (24) 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 2539349960784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395611996160).

2539349960784 is an abundant number, since it is smaller than the sum of its proper divisors (6251874031536).

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

2539349960784 is a wasteful number, since it uses less digits than its factorization.

2539349960784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 2539349960784 in words is "two trillion, five hundred thirty-nine billion, three hundred forty-nine million, nine hundred sixty thousand, seven hundred eighty-four".