2270583030114 has 512 divisors, whose sum is σ = 6426900480000. Its totient is φ = 591827814144.

The previous prime is 2270583030103. The next prime is 2270583030137. The reversal of 2270583030114 is 4110303850722.

2270583030114 is a `hidden beast` number, since 2 + 2 + 70 + 583 + 0 + 3 + 0 + 1 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1341158652 + ... + 1341160344.

It is an arithmetic number, because the mean of its divisors is an integer number (12552540000).

Almost surely, 2^{2270583030114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270583030114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213450240000).

2270583030114 is an abundant number, since it is smaller than the sum of its proper divisors (4156317449886).

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

2270583030114 is a wasteful number, since it uses less digits than its factorization.

2270583030114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1864 counting only the distinct ones).

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

Adding to 2270583030114 its reverse (4110303850722), we get a palindrome (6380886880836).

The spelling of 2270583030114 in words is "two trillion, two hundred seventy billion, five hundred eighty-three million, thirty thousand, one hundred fourteen".