2542653259744 has 192 divisors, whose sum is σ = 5930714764800. Its totient is φ = 1061751601152.

The previous prime is 2542653259723. The next prime is 2542653259781. The reversal of 2542653259744 is 4479523562452.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 118699467 + ... + 118720885.

It is an arithmetic number, because the mean of its divisors is an integer number (30889139400).

Almost surely, 2^{2542653259744} 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 2542653259744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965357382400).

2542653259744 is an abundant number, since it is smaller than the sum of its proper divisors (3388061505056).

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

2542653259744 is a wasteful number, since it uses less digits than its factorization.

2542653259744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22137 (or 22129 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 58.

The spelling of 2542653259744 in words is "two trillion, five hundred forty-two billion, six hundred fifty-three million, two hundred fifty-nine thousand, seven hundred forty-four".