2265824793600 has 990 divisors, whose sum is σ = 8573356081290. Its totient is φ = 591295610880.

The previous prime is 2265824793539. The next prime is 2265824793607. The reversal of 2265824793600 is 63974285622.

2265824793600 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 8 + 24 + 7 + 9 + 3 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 419530834944 + 1846293958656 = 647712^2 + 1358784^2 .

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 (2265824793607) 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 89 ways as a sum of consecutive naturals, for example, 5824742206 + ... + 5824742594.

Almost surely, 2^{2265824793600} is an apocalyptic number.

2265824793600 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 2265824793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286678040645).

2265824793600 is an abundant number, since it is smaller than the sum of its proper divisors (6307531287690).

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

2265824793600 is an equidigital number, since it uses as much as digits as its factorization.

2265824793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2265824793600 in words is "two trillion, two hundred sixty-five billion, eight hundred twenty-four million, seven hundred ninety-three thousand, six hundred".