2164939560 has 576 divisors, whose sum is σ = 8758264320. Its totient is φ = 461583360.

The previous prime is 2164939559. The next prime is 2164939583. The reversal of 2164939560 is 659394612.

2164939560 is a `hidden beast` number, since 2 + 16 + 49 + 39 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20233027 + ... + 20233133.

It is an arithmetic number, because the mean of its divisors is an integer number (15205320).

Almost surely, 2^2164939560 is an apocalyptic number.

2164939560 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 2164939560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379132160).

2164939560 is an abundant number, since it is smaller than the sum of its proper divisors (6593324760).

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

2164939560 is a wasteful number, since it uses less digits than its factorization.

2164939560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2164939560 is about 46528.9110124017. The cubic root of 2164939560 is about 1293.6454304616.

The spelling of 2164939560 in words is "two billion, one hundred sixty-four million, nine hundred thirty-nine thousand, five hundred sixty".