2540726678048 has 96 divisors (see below), whose sum is σ = 5426120807856. Its totient is φ = 1164110266368.

The previous prime is 2540726677997. The next prime is 2540726678053. The reversal of 2540726678048 is 8408766270452.

It can be written as a sum of positive squares in 8 ways, for example, as 2052835603984 + 487891074064 = 1432772^2 + 698492^2 .

It is a super-3 number, since 3×2540726678048³ (a number of 38 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 48408236 + ... + 48460692.

Almost surely, 2^{2540726678048} 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 2540726678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713060403928).

2540726678048 is an abundant number, since it is smaller than the sum of its proper divisors (2885394129808).

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

2540726678048 is a wasteful number, since it uses less digits than its factorization.

2540726678048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53326 (or 53318 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 59.

The spelling of 2540726678048 in words is "two trillion, five hundred forty billion, seven hundred twenty-six million, six hundred seventy-eight thousand, forty-eight".