2563459830240 has 384 divisors, whose sum is σ = 8895983967360. Its totient is φ = 617592127488.

The previous prime is 2563459830229. The next prime is 2563459830247. The reversal of 2563459830240 is 420389543652.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563459830247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 40907412 + ... + 40970028.

It is an arithmetic number, because the mean of its divisors is an integer number (23166624915).

Almost surely, 2^{2563459830240} is an apocalyptic number.

2563459830240 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 2563459830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447991983680).

2563459830240 is an abundant number, since it is smaller than the sum of its proper divisors (6332524137120).

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

2563459830240 is a wasteful number, since it uses less digits than its factorization.

2563459830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62854 (or 62846 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 2563459830240 in words is "two trillion, five hundred sixty-three billion, four hundred fifty-nine million, eight hundred thirty thousand, two hundred forty".