2185971147360 has 2304 divisors, whose sum is σ = 10896018352128. Its totient is φ = 383798476800.

The previous prime is 2185971147329. The next prime is 2185971147389. The reversal of 2185971147360 is 637411795812.

2185971147360 is a `hidden beast` number, since 2 + 1 + 8 + 597 + 1 + 1 + 47 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2185971147297 and 2185971147306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 906664555 + ... + 906666965.

It is an arithmetic number, because the mean of its divisors is an integer number (4729174632).

It is a 1-persistent number, because it is pandigital, but 2⋅2185971147360 = 4371942294720 is not.

Almost surely, 2^{2185971147360} is an apocalyptic number.

2185971147360 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 2185971147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448009176064).

2185971147360 is an abundant number, since it is smaller than the sum of its proper divisors (8710047204768).

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

2185971147360 is a wasteful number, since it uses less digits than its factorization.

2185971147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 2185971147360 in words is "two trillion, one hundred eighty-five billion, nine hundred seventy-one million, one hundred forty-seven thousand, three hundred sixty".