2542289715440 has 80 divisors (see below), whose sum is σ = 6022844424000. Its totient is φ = 997646647296.

The previous prime is 2542289715439. The next prime is 2542289715461. The reversal of 2542289715440 is 445179822452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (53).

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 15 ways as a sum of consecutive naturals, for example, 91438661 + ... + 91466459.

It is an arithmetic number, because the mean of its divisors is an integer number (75285555300).

Almost surely, 2^{2542289715440} is an apocalyptic number.

2542289715440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542289715440 is an abundant number, since it is smaller than the sum of its proper divisors (3480554708560).

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

2542289715440 is a wasteful number, since it uses less digits than its factorization.

2542289715440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49434 (or 49428 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

It can be divided in two parts, 2542 and 289715440, that added together give a palindrome (289717982).

The spelling of 2542289715440 in words is "two trillion, five hundred forty-two billion, two hundred eighty-nine million, seven hundred fifteen thousand, four hundred forty".