2280349638 has 192 divisors, whose sum is σ = 6478341120. Its totient is φ = 580338432.

The previous prime is 2280349607. The next prime is 2280349679. The reversal of 2280349638 is 8369430822.

2280349638 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 3 + 4 + 9 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2280349593 and 2280349602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2319295 + ... + 2320277.

It is an arithmetic number, because the mean of its divisors is an integer number (33741360).

Almost surely, 2^2280349638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280349638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239170560).

2280349638 is an abundant number, since it is smaller than the sum of its proper divisors (4197991482).

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

2280349638 is a wasteful number, since it uses less digits than its factorization.

2280349638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2280349638 is about 47753.0065859732. The cubic root of 2280349638 is about 1316.2361477751.

The spelling of 2280349638 in words is "two billion, two hundred eighty million, three hundred forty-nine thousand, six hundred thirty-eight".