2166160464 has 240 divisors, whose sum is σ = 6810119680. Its totient is φ = 638254080.

The previous prime is 2166160457. The next prime is 2166160483. The reversal of 2166160464 is 4640616612.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9459102 + ... + 9459330.

Almost surely, 2^2166160464 is an apocalyptic number.

2166160464 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 2166160464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405059840).

2166160464 is an abundant number, since it is smaller than the sum of its proper divisors (4643959216).

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

2166160464 is a wasteful number, since it uses less digits than its factorization.

2166160464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2166160464 is about 46542.0290060500. The cubic root of 2166160464 is about 1293.8885658208. Note that the first 3 decimals are identical.

The spelling of 2166160464 in words is "two billion, one hundred sixty-six million, one hundred sixty thousand, four hundred sixty-four".