2275880582016 has 192 divisors, whose sum is σ = 6799814985600. Its totient is φ = 757713968640.

The previous prime is 2275880581999. The next prime is 2275880582023. The reversal of 2275880582016 is 6102850885722.

2275880582016 is a `hidden beast` number, since 2 + 2 + 7 + 58 + 8 + 0 + 582 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2275880582016³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 26052651 + ... + 26139861.

It is an arithmetic number, because the mean of its divisors is an integer number (35415703050).

Almost surely, 2^{2275880582016} 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 2275880582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399907492800).

2275880582016 is an abundant number, since it is smaller than the sum of its proper divisors (4523934403584).

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

2275880582016 is an frugal number, since it uses more digits than its factorization.

2275880582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88079 (or 88055 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 2275880582016 in words is "two trillion, two hundred seventy-five billion, eight hundred eighty million, five hundred eighty-two thousand, sixteen".