2275382016 has 216 divisors, whose sum is σ = 6904468480. Its totient is φ = 747242496.

The previous prime is 2275381957. The next prime is 2275382027. The reversal of 2275382016 is 6102835722.

2275382016 is a `hidden beast` number, since 2 + 275 + 382 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4914201 + ... + 4914663.

Almost surely, 2^2275382016 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 2275382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452234240).

2275382016 is an abundant number, since it is smaller than the sum of its proper divisors (4629086464).

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

2275382016 is an frugal number, since it uses more digits than its factorization.

2275382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2275382016 is about 47700.9645185504. The cubic root of 2275382016 is about 1315.2796691043.

The spelling of 2275382016 in words is "two billion, two hundred seventy-five million, three hundred eighty-two thousand, sixteen".