2175380064 has 240 divisors, whose sum is σ = 7517497680. Its totient is φ = 608394240.

The previous prime is 2175380057. The next prime is 2175380069. The reversal of 2175380064 is 4600835712.

2175380064 is a `hidden beast` number, since 217 + 5 + 380 + 0 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2175380069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 367722 + ... + 373590.

It is an arithmetic number, because the mean of its divisors is an integer number (31322907).

Almost surely, 2^2175380064 is an apocalyptic number.

2175380064 is a gapful number since it is divisible by the number (24) 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 2175380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758748840).

2175380064 is an abundant number, since it is smaller than the sum of its proper divisors (5342117616).

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

2175380064 is a wasteful number, since it uses less digits than its factorization.

2175380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2175380064 is about 46640.9698012381. The cubic root of 2175380064 is about 1295.7216480394.

The spelling of 2175380064 in words is "two billion, one hundred seventy-five million, three hundred eighty thousand, sixty-four".