2280619264 has 144 divisors (see below), whose sum is σ = 5726601216. Its totient is φ = 880588800.

The previous prime is 2280619249. The next prime is 2280619273. The reversal of 2280619264 is 4629160822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502969 + ... + 2503879.

It is an arithmetic number, because the mean of its divisors is an integer number (39768064).

Almost surely, 2^2280619264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280619264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863300608).

2280619264 is an abundant number, since it is smaller than the sum of its proper divisors (3445981952).

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

2280619264 is a wasteful number, since it uses less digits than its factorization.

2280619264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2280619264 is about 47755.8296336688. The cubic root of 2280619264 is about 1316.2880224957.

The spelling of 2280619264 in words is "two billion, two hundred eighty million, six hundred nineteen thousand, two hundred sixty-four".