2275537784832 has 1092 divisors, whose sum is σ = 7716601296012. Its totient is φ = 666471628800.

The previous prime is 2275537784827. The next prime is 2275537784879. The reversal of 2275537784832 is 2384877355722.

2275537784832 is a `hidden beast` number, since 2 + 2 + 7 + 55 + 37 + 78 + 483 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183649959936 + 2091887824896 = 428544^2 + 1446336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2275537784832.

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 83 ways as a sum of consecutive naturals, for example, 37303898082 + ... + 37303898142.

Almost surely, 2^{2275537784832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275537784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858300648006).

2275537784832 is an abundant number, since it is smaller than the sum of its proper divisors (5441063511180).

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

2275537784832 is an frugal number, since it uses more digits than its factorization.

2275537784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 110 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 2275537784832 in words is "two trillion, two hundred seventy-five billion, five hundred thirty-seven million, seven hundred eighty-four thousand, eight hundred thirty-two".