2563643661040 has 160 divisors (see below), whose sum is σ = 7436574028800. Its totient is φ = 798483916800.

The previous prime is 2563643661031. The next prime is 2563643661113. The reversal of 2563643661040 is 401663463652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8469100 + ... + 8766580.

It is an arithmetic number, because the mean of its divisors is an integer number (46478587680).

Almost surely, 2^{2563643661040} is an apocalyptic number.

2563643661040 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 2563643661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718287014400).

2563643661040 is an abundant number, since it is smaller than the sum of its proper divisors (4872930367760).

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

2563643661040 is a wasteful number, since it uses less digits than its factorization.

2563643661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298911 (or 298905 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 2563643661040 in words is "two trillion, five hundred sixty-three billion, six hundred forty-three million, six hundred sixty-one thousand, forty".