2275023268800 has 1008 divisors, whose sum is σ = 8437249267200. Its totient is φ = 581046681600.

The previous prime is 2275023268799. The next prime is 2275023268807. The reversal of 2275023268800 is 88623205722.

It is a happy number.

2275023268800 is a `hidden beast` number, since 2 + 2 + 7 + 502 + 3 + 2 + 68 + 80 + 0 = 666.

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 (2275023268807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10782100695 + ... + 10782100905.

Almost surely, 2^{2275023268800} is an apocalyptic number.

2275023268800 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 2275023268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218624633600).

2275023268800 is an abundant number, since it is smaller than the sum of its proper divisors (6162225998400).

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

2275023268800 is a wasteful number, since it uses less digits than its factorization.

2275023268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2275023268800 in words is "two trillion, two hundred seventy-five billion, twenty-three million, two hundred sixty-eight thousand, eight hundred".