2268084297600 has 1152 divisors, whose sum is σ = 9177858293760. Its totient is φ = 528353280000.

The previous prime is 2268084297593. The next prime is 2268084297653. The reversal of 2268084297600 is 67924808622.

2268084297600 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 0 + 8 + 4 + 29 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1541864865 + ... + 1541866335.

It is an arithmetic number, because the mean of its divisors is an integer number (7966890880).

Almost surely, 2^{2268084297600} is an apocalyptic number.

2268084297600 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 2268084297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588929146880).

2268084297600 is an abundant number, since it is smaller than the sum of its proper divisors (6909773996160).

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

2268084297600 is a wasteful number, since it uses less digits than its factorization.

2268084297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2268084297600 in words is "two trillion, two hundred sixty-eight billion, eighty-four million, two hundred ninety-seven thousand, six hundred".