2164546560 has 352 divisors, whose sum is σ = 7895066112. Its totient is φ = 501022720.

The previous prime is 2164546547. The next prime is 2164546591. The reversal of 2164546560 is 656454612.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3885802 + ... + 3886358.

Almost surely, 2^2164546560 is an apocalyptic number.

2164546560 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 2164546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947533056).

2164546560 is an abundant number, since it is smaller than the sum of its proper divisors (5730519552).

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

2164546560 is a wasteful number, since it uses less digits than its factorization.

2164546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2164546560 is about 46524.6876400046. The cubic root of 2164546560 is about 1293.5671475340.

The spelling of 2164546560 in words is "two billion, one hundred sixty-four million, five hundred forty-six thousand, five hundred sixty".