2287216448 has 112 divisors (see below), whose sum is σ = 5272210944. Its totient is φ = 972963840.

The previous prime is 2287216427. The next prime is 2287216517. The reversal of 2287216448 is 8446127822.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2287216399 and 2287216408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2668436 + ... + 2669292.

It is an arithmetic number, because the mean of its divisors is an integer number (47073312).

Almost surely, 2^2287216448 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 2287216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636105472).

2287216448 is an abundant number, since it is smaller than the sum of its proper divisors (2984994496).

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

2287216448 is a wasteful number, since it uses less digits than its factorization.

2287216448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its digits is 344064, while the sum is 44.

The square root of 2287216448 is about 47824.8517823108. The cubic root of 2287216448 is about 1317.5560164712.

The spelling of 2287216448 in words is "two billion, two hundred eighty-seven million, two hundred sixteen thousand, four hundred forty-eight".