2170814464 has 171 divisors, whose sum is σ = 5468837697. Its totient is φ = 858783744.

The previous prime is 2170814389. The next prime is 2170814479. The reversal of 2170814464 is 4644180712.

It is a happy number.

The square root of 2170814464 is 46592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 321126400 + 1849688064 = 17920^2 + 43008^2 .

It is a super-2 number, since 2×2170814464² = 9424870874223214592, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 166985722 + ... + 166985734.

It is an arithmetic number, because the mean of its divisors is an integer number (31981507).

Almost surely, 2^2170814464 is an apocalyptic number.

2170814464 is the 46592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170814464

2170814464 is an abundant number, since it is smaller than the sum of its proper divisors (3298023233).

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

2170814464 is an frugal number, since it uses more digits than its factorization.

2170814464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The cubic root of 2170814464 is about 1294.8145436881.

The spelling of 2170814464 in words is "two billion, one hundred seventy million, eight hundred fourteen thousand, four hundred sixty-four".