2265744686400 has 1008 divisors, whose sum is σ = 9225661863600. Its totient is φ = 522454302720.

The previous prime is 2265744686389. The next prime is 2265744686419. The reversal of 2265744686400 is 46864475622.

It is a happy number.

2265744686400 is a `hidden beast` number, since 2 + 2 + 6 + 574 + 4 + 6 + 8 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1368450756864 + 897293929536 = 1169808^2 + 947256^2 .

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, 728768046 + ... + 728771154.

It is an arithmetic number, because the mean of its divisors is an integer number (9152442325).

Almost surely, 2^{2265744686400} is an apocalyptic number.

2265744686400 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 2265744686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612830931800).

2265744686400 is an abundant number, since it is smaller than the sum of its proper divisors (6959917177200).

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

2265744686400 is a wasteful number, since it uses less digits than its factorization.

2265744686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2265744686400 in words is "two trillion, two hundred sixty-five billion, seven hundred forty-four million, six hundred eighty-six thousand, four hundred".