2563970252800 has 360 divisors, whose sum is σ = 6995306771712. Its totient is φ = 932154572800.

The previous prime is 2563970252749. The next prime is 2563970252807. The reversal of 2563970252800 is 82520793652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563970252807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545175249 + ... + 545179951.

Almost surely, 2^{2563970252800} is an apocalyptic number.

2563970252800 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 2563970252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497653385856).

2563970252800 is an abundant number, since it is smaller than the sum of its proper divisors (4431336518912).

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

2563970252800 is an frugal number, since it uses more digits than its factorization.

2563970252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 2563970252800 in words is "two trillion, five hundred sixty-three billion, nine hundred seventy million, two hundred fifty-two thousand, eight hundred".