2591688253440 has 896 divisors, whose sum is σ = 9865633946112. Its totient is φ = 572648325120.

The previous prime is 2591688253433. The next prime is 2591688253457. The reversal of 2591688253440 is 443528861952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1458461832 + ... + 1458463608.

It is an arithmetic number, because the mean of its divisors is an integer number (11010752172).

Almost surely, 2^{2591688253440} is an apocalyptic number.

2591688253440 is a gapful number since it is divisible by the number (20) 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 2591688253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932816973056).

2591688253440 is an abundant number, since it is smaller than the sum of its proper divisors (7273945692672).

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

2591688253440 is a wasteful number, since it uses less digits than its factorization.

2591688253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 2591688253440 in words is "two trillion, five hundred ninety-one billion, six hundred eighty-eight million, two hundred fifty-three thousand, four hundred forty".