2195408952 has 96 divisors (see below), whose sum is σ = 6501530880. Its totient is φ = 663727680.

The previous prime is 2195408927. The next prime is 2195408993. The reversal of 2195408952 is 2598045912.

It is a happy number.

2195408952 is a `hidden beast` number, since 2 + 19 + 540 + 8 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2195408898 and 2195408907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363703 + ... + 369689.

It is an arithmetic number, because the mean of its divisors is an integer number (67724280).

Almost surely, 2^2195408952 is an apocalyptic number.

2195408952 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 2195408952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250765440).

2195408952 is an abundant number, since it is smaller than the sum of its proper divisors (4306121928).

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

2195408952 is a wasteful number, since it uses less digits than its factorization.

2195408952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6466 counting only the distinct ones).

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

The square root of 2195408952 is about 46855.1913025654. The cubic root of 2195408952 is about 1299.6861080416.

The spelling of 2195408952 in words is "two billion, one hundred ninety-five million, four hundred eight thousand, nine hundred fifty-two".