2263253709600 has 1296 divisors, whose sum is σ = 9202229644608. Its totient is φ = 520004136960.

The previous prime is 2263253709583. The next prime is 2263253709617. The reversal of 2263253709600 is 69073523622.

2263253709600 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 2 + 5 + 37 + 0 + 9 + 600 = 666.

2263253709600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2263253709583) and next prime (2263253709617).

It is a super-2 number, since 2×2263253709600² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2129118669 + ... + 2129119731.

Almost surely, 2^{2263253709600} is an apocalyptic number.

2263253709600 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 2263253709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601114822304).

2263253709600 is an abundant number, since it is smaller than the sum of its proper divisors (6938975935008).

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

2263253709600 is a wasteful number, since it uses less digits than its factorization.

2263253709600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 2263253709600 in words is "two trillion, two hundred sixty-three billion, two hundred fifty-three million, seven hundred nine thousand, six hundred".