2195074560 has 480 divisors, whose sum is σ = 8620698240. Its totient is φ = 473776128.

The previous prime is 2195074547. The next prime is 2195074571. The reversal of 2195074560 is 654705912.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7149927 + ... + 7150233.

It is an arithmetic number, because the mean of its divisors is an integer number (17959788).

Almost surely, 2^2195074560 is an apocalyptic number.

2195074560 is a gapful number since it is divisible by the number (20) 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 2195074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310349120).

2195074560 is an abundant number, since it is smaller than the sum of its proper divisors (6425623680).

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

2195074560 is a wasteful number, since it uses less digits than its factorization.

2195074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 2195074560 is about 46851.6228107416. The cubic root of 2195074560 is about 1299.6201177996.

The spelling of 2195074560 in words is "two billion, one hundred ninety-five million, seventy-four thousand, five hundred sixty".