2175406464 has 512 divisors, whose sum is σ = 7755264000. Its totient is φ = 523837440.

The previous prime is 2175406459. The next prime is 2175406469. The reversal of 2175406464 is 4646045712.

It is an interprime number because it is at equal distance from previous prime (2175406459) and next prime (2175406469).

It is a super-2 number, since 2×2175406464² = 9464786567225966592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2175406469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36871267 + ... + 36871325.

It is an arithmetic number, because the mean of its divisors is an integer number (15147000).

Almost surely, 2^2175406464 is an apocalyptic number.

2175406464 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 2175406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877632000).

2175406464 is an abundant number, since it is smaller than the sum of its proper divisors (5579857536).

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

2175406464 is a wasteful number, since it uses less digits than its factorization.

2175406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2175406464 is about 46641.2528133626. The cubic root of 2175406464 is about 1295.7268895623.

The spelling of 2175406464 in words is "two billion, one hundred seventy-five million, four hundred six thousand, four hundred sixty-four".