2275886342016 has 384 divisors, whose sum is σ = 7705990656000. Its totient is φ = 631187251200.

The previous prime is 2275886342003. The next prime is 2275886342017. The reversal of 2275886342016 is 6102436885722.

2275886342016 is a `hidden beast` number, since 2 + 2 + 7 + 588 + 6 + 3 + 42 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275886342017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65776881 + ... + 65811471.

It is an arithmetic number, because the mean of its divisors is an integer number (20067684000).

Almost surely, 2^{2275886342016} 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 2275886342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852995328000).

2275886342016 is an abundant number, since it is smaller than the sum of its proper divisors (5430104313984).

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

2275886342016 is a wasteful number, since it uses less digits than its factorization.

2275886342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34858 (or 34843 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2275886342016 in words is "two trillion, two hundred seventy-five billion, eight hundred eighty-six million, three hundred forty-two thousand, sixteen".