2814665448 has 96 divisors (see below), whose sum is σ = 8376017760. Its totient is φ = 785473920.

The previous prime is 2814665437. The next prime is 2814665449. The reversal of 2814665448 is 8445664182.

It is a junction number, because it is equal to n+sod(n) for n = 2814665397 and 2814665406.

It is not an unprimeable number, because it can be changed into a prime (2814665449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22738 + ... + 78398.

It is an arithmetic number, because the mean of its divisors is an integer number (87250185).

Almost surely, 2^2814665448 is an apocalyptic number.

2814665448 is a gapful number since it is divisible by the number (28) 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 2814665448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188008880).

2814665448 is an abundant number, since it is smaller than the sum of its proper divisors (5561352312).

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

2814665448 is a wasteful number, since it uses less digits than its factorization.

2814665448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55727 (or 55716 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 2814665448 is about 53053.4207002715. The cubic root of 2814665448 is about 1411.9162196463.

The spelling of 2814665448 in words is "two billion, eight hundred fourteen million, six hundred sixty-five thousand, four hundred forty-eight".