2395666448 has 60 divisors (see below), whose sum is σ = 5418364140. Its totient is φ = 1023111936.

The previous prime is 2395666447. The next prime is 2395666457. The reversal of 2395666448 is 8446665932.

It can be written as a sum of positive squares in 2 ways, for example, as 2330185984 + 65480464 = 48272^2 + 8092^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2395666448.

It is not an unprimeable number, because it can be changed into a prime (2395666447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224498 + ... + 234926.

It is an arithmetic number, because the mean of its divisors is an integer number (90306069).

Almost surely, 2^2395666448 is an apocalyptic number.

2395666448 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 2395666448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709182070).

2395666448 is an abundant number, since it is smaller than the sum of its proper divisors (3022697692).

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

2395666448 is a wasteful number, since it uses less digits than its factorization.

2395666448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10744 (or 10731 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 53.

The square root of 2395666448 is about 48945.5457421817. The cubic root of 2395666448 is about 1338.0595750734.

The spelling of 2395666448 in words is "two billion, three hundred ninety-five million, six hundred sixty-six thousand, four hundred forty-eight".