2195106480 has 560 divisors, whose sum is σ = 9237861120. Its totient is φ = 473651712.

The previous prime is 2195106469. The next prime is 2195106547. The reversal of 2195106480 is 846015912.

2195106480 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 1 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7756419 + ... + 7756701.

Almost surely, 2^2195106480 is an apocalyptic number.

2195106480 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 2195106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618930560).

2195106480 is an abundant number, since it is smaller than the sum of its proper divisors (7042754640).

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

2195106480 is a wasteful number, since it uses less digits than its factorization.

2195106480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2195106480 is about 46851.9634593898. The cubic root of 2195106480 is about 1299.6264173082.

The spelling of 2195106480 in words is "two billion, one hundred ninety-five million, one hundred six thousand, four hundred eighty".