2270975616 has 640 divisors, whose sum is σ = 8708515200. Its totient is φ = 571318272.

The previous prime is 2270975611. The next prime is 2270975639. The reversal of 2270975616 is 6165790722.

2270975616 is a `hidden beast` number, since 2 + 27 + 0 + 9 + 7 + 5 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (2270975611) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 27361111 + ... + 27361193.

It is an arithmetic number, because the mean of its divisors is an integer number (13607055).

Almost surely, 2^2270975616 is an apocalyptic number.

2270975616 is a gapful number since it is divisible by the number (26) 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 2270975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354257600).

2270975616 is an abundant number, since it is smaller than the sum of its proper divisors (6437539584).

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

2270975616 is a wasteful number, since it uses less digits than its factorization.

2270975616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2270975616 is about 47654.7543903019. The cubic root of 2270975616 is about 1314.4300837719.

The spelling of 2270975616 in words is "two billion, two hundred seventy million, nine hundred seventy-five thousand, six hundred sixteen".