2164546080 has 288 divisors, whose sum is σ = 8093358000. Its totient is φ = 524353536.

The previous prime is 2164546009. The next prime is 2164546093. The reversal of 2164546080 is 806454612.

2164546080 is a `hidden beast` number, since 2 + 1 + 6 + 45 + 4 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 790509456 + 1374036624 = 28116^2 + 37068^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708396 + ... + 711444.

Almost surely, 2^2164546080 is an apocalyptic number.

2164546080 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 2164546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046679000).

2164546080 is an abundant number, since it is smaller than the sum of its proper divisors (5928811920).

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

2164546080 is a wasteful number, since it uses less digits than its factorization.

2164546080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2164546080 is about 46524.6824814528. The cubic root of 2164546080 is about 1293.5670519155.

The spelling of 2164546080 in words is "two billion, one hundred sixty-four million, five hundred forty-six thousand, eighty".