2270196864 has 384 divisors, whose sum is σ = 7682154480. Its totient is φ = 637009920.

The previous prime is 2270196833. The next prime is 2270196869. The reversal of 2270196864 is 4686910722.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1798438464 + 471758400 = 42408^2 + 21720^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2270196869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9419784 + ... + 9420024.

Almost surely, 2^2270196864 is an apocalyptic number.

2270196864 is a gapful number since it is divisible by the number (24) 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 2270196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841077240).

2270196864 is an abundant number, since it is smaller than the sum of its proper divisors (5411957616).

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

2270196864 is a wasteful number, since it uses less digits than its factorization.

2270196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2270196864 is about 47646.5829204991. The cubic root of 2270196864 is about 1314.2798205875.

The spelling of 2270196864 in words is "two billion, two hundred seventy million, one hundred ninety-six thousand, eight hundred sixty-four".