2286648672 has 192 divisors, whose sum is σ = 7575773184. Its totient is φ = 586621440.

The previous prime is 2286648671. The next prime is 2286648673. The reversal of 2286648672 is 2768466822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2286648671) and next prime (2286648673).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286648671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611673 + ... + 615399.

It is an arithmetic number, because the mean of its divisors is an integer number (39457152).

Almost surely, 2^2286648672 is an apocalyptic number.

2286648672 is a gapful number since it is divisible by the number (22) 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 2286648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787886592).

2286648672 is an abundant number, since it is smaller than the sum of its proper divisors (5289124512).

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

2286648672 is a wasteful number, since it uses less digits than its factorization.

2286648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3833 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 2286648672 is about 47818.9154205739. The cubic root of 2286648672 is about 1317.4469845816.

The spelling of 2286648672 in words is "two billion, two hundred eighty-six million, six hundred forty-eight thousand, six hundred seventy-two".