2275693056000 has 2912 divisors, whose sum is σ = 10636741909248. Its totient is φ = 472979865600.

The previous prime is 2275693055957. The next prime is 2275693056101. The reversal of 2275693056000 is 6503965722.

2275693056000 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 6 + 9 + 30 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 33965567967 + ... + 33965568033.

It is an arithmetic number, because the mean of its divisors is an integer number (3652727304).

Almost surely, 2^{2275693056000} is an apocalyptic number.

2275693056000 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 2275693056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318370954624).

2275693056000 is an abundant number, since it is smaller than the sum of its proper divisors (8361048853248).

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

2275693056000 is an frugal number, since it uses more digits than its factorization.

2275693056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 2275693056000 in words is "two trillion, two hundred seventy-five billion, six hundred ninety-three million, fifty-six thousand".