2248195950 has 864 divisors, whose sum is σ = 8891430912. Its totient is φ = 399168000.

The previous prime is 2248195949. The next prime is 2248195951. The reversal of 2248195950 is 595918422.

It is a happy number.

2248195950 is a `hidden beast` number, since 2 + 2 + 48 + 19 + 595 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2248195949) and next prime (2248195951).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2248195896 and 2248195905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248195951) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 72522435 + ... + 72522465.

It is an arithmetic number, because the mean of its divisors is an integer number (10291008).

Almost surely, 2^2248195950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248195950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445715456).

2248195950 is an abundant number, since it is smaller than the sum of its proper divisors (6643234962).

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

2248195950 is a wasteful number, since it uses less digits than its factorization.

2248195950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2248195950 is about 47415.1447324586. The cubic root of 2248195950 is about 1310.0203850527.

The spelling of 2248195950 in words is "two billion, two hundred forty-eight million, one hundred ninety-five thousand, nine hundred fifty".