2195988480 has 672 divisors, whose sum is σ = 9323368704. Its totient is φ = 467140608.

The previous prime is 2195988469. The next prime is 2195988497. The reversal of 2195988480 is 848895912.

2195988480 is a `hidden beast` number, since 2 + 1 + 9 + 598 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59351022 + ... + 59351058.

Almost surely, 2^2195988480 is an apocalyptic number.

2195988480 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 2195988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661684352).

2195988480 is an abundant number, since it is smaller than the sum of its proper divisors (7127380224).

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

2195988480 is a wasteful number, since it uses less digits than its factorization.

2195988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The square root of 2195988480 is about 46861.3751398740. The cubic root of 2195988480 is about 1299.8004585251.

The spelling of 2195988480 in words is "two billion, one hundred ninety-five million, nine hundred eighty-eight thousand, four hundred eighty".