2195424337680 has 180 divisors, whose sum is σ = 8576716542732. Its totient is φ = 501811269120.

The previous prime is 2195424337663. The next prime is 2195424337681. The reversal of 2195424337680 is 867334245912.

2195424337680 is a `hidden beast` number, since 2 + 1 + 9 + 542 + 4 + 3 + 37 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1524938493456 + 670485844224 = 1234884^2 + 818832^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (2195424337681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31079011 + ... + 31149570.

It is a 1-persistent number, because it is pandigital, but 2⋅2195424337680 = 4390848675360 is not.

Almost surely, 2^{2195424337680} is an apocalyptic number.

2195424337680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2195424337680 is an abundant number, since it is smaller than the sum of its proper divisors (6381292205052).

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

2195424337680 is a wasteful number, since it uses less digits than its factorization.

2195424337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62228614 (or 62228598 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2195424337680 in words is "two trillion, one hundred ninety-five billion, four hundred twenty-four million, three hundred thirty-seven thousand, six hundred eighty".