2563347036480 has 896 divisors, whose sum is σ = 9202404556800. Its totient is φ = 601509888000.

The previous prime is 2563347036457. The next prime is 2563347036487. The reversal of 2563347036480 is 846307433652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563347036487) 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 127 ways as a sum of consecutive naturals, for example, 3656700130 + ... + 3656700830.

It is an arithmetic number, because the mean of its divisors is an integer number (10270540800).

Almost surely, 2^{2563347036480} is an apocalyptic number.

2563347036480 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 2563347036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601202278400).

2563347036480 is an abundant number, since it is smaller than the sum of its proper divisors (6639057520320).

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

2563347036480 is a wasteful number, since it uses less digits than its factorization.

2563347036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 51.

The spelling of 2563347036480 in words is "two trillion, five hundred sixty-three billion, three hundred forty-seven million, thirty-six thousand, four hundred eighty".