2275079505984 has 168 divisors, whose sum is σ = 6637534913880. Its totient is φ = 744855552000.

The previous prime is 2275079505863. The next prime is 2275079506013. The reversal of 2275079505984 is 4895059705722.

2275079505984 is a `hidden beast` number, since 2 + 2 + 7 + 50 + 79 + 505 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 268663915584 + 2006415590400 = 518328^2 + 1416480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24584152 + ... + 24676520.

Almost surely, 2^{2275079505984} is an apocalyptic number.

2275079505984 is a gapful number since it is divisible by the number (24) 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 2275079505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318767456940).

2275079505984 is an abundant number, since it is smaller than the sum of its proper divisors (4362455407896).

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

2275079505984 is a wasteful number, since it uses less digits than its factorization.

2275079505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93149 (or 93136 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 2275079505984 in words is "two trillion, two hundred seventy-five billion, seventy-nine million, five hundred five thousand, nine hundred eighty-four".