2563288326144 has 1792 divisors, whose sum is σ = 10040550912000. Its totient is φ = 640916914176.

The previous prime is 2563288326143. The next prime is 2563288326211. The reversal of 2563288326144 is 4416238823652.

2563288326144 is a `hidden beast` number, since 2 + 5 + 63 + 288 + 3 + 261 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×2563288326144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563288326143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22683967432 + ... + 22683967544.

It is an arithmetic number, because the mean of its divisors is an integer number (5602986000).

Almost surely, 2^{2563288326144} is an apocalyptic number.

2563288326144 is a gapful number since it is divisible by the number (24) 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 2563288326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020275456000).

2563288326144 is an abundant number, since it is smaller than the sum of its proper divisors (7477262585856).

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

2563288326144 is a wasteful number, since it uses less digits than its factorization.

2563288326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 161 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 2563288326144 in words is "two trillion, five hundred sixty-three billion, two hundred eighty-eight million, three hundred twenty-six thousand, one hundred forty-four".