2270102016 has 320 divisors, whose sum is σ = 7562016000. Its totient is φ = 589234176.

The previous prime is 2270101979. The next prime is 2270102057. The reversal of 2270102016 is 6102010722.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2270101983 and 2270102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15235510 + ... + 15235658.

It is an arithmetic number, because the mean of its divisors is an integer number (23631300).

Almost surely, 2^2270102016 is an apocalyptic number.

2270102016 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 2270102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008000).

2270102016 is an abundant number, since it is smaller than the sum of its proper divisors (5291913984).

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

2270102016 is a wasteful number, since it uses less digits than its factorization.

2270102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2270102016 is about 47645.5875816429. The cubic root of 2270102016 is about 1314.2615169548.

Adding to 2270102016 its reverse (6102010722), we get a palindrome (8372112738).

The spelling of 2270102016 in words is "two billion, two hundred seventy million, one hundred two thousand, sixteen".