2288064254400 has 252 divisors, whose sum is σ = 8133894566824. Its totient is φ = 610032384000.

The previous prime is 2288064254387. The next prime is 2288064254401. The reversal of 2288064254400 is 44524608822.

2288064254400 is a `hidden beast` number, since 2 + 28 + 80 + 6 + 4 + 2 + 544 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288064254401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94610310 + ... + 94634490.

Almost surely, 2^{2288064254400} is an apocalyptic number.

2288064254400 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 2288064254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066947283412).

2288064254400 is an abundant number, since it is smaller than the sum of its proper divisors (5845830312424).

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

2288064254400 is a wasteful number, since it uses less digits than its factorization.

2288064254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30780 (or 30762 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 2288064254400 in words is "two trillion, two hundred eighty-eight billion, sixty-four million, two hundred fifty-four thousand, four hundred".