2166761520 has 960 divisors, whose sum is σ = 10195061760. Its totient is φ = 401448960.

The previous prime is 2166761497. The next prime is 2166761533. The reversal of 2166761520 is 251676612.

It is a happy number.

2166761520 is a `hidden beast` number, since 2 + 1 + 66 + 76 + 1 + 520 = 666.

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 191 ways as a sum of consecutive naturals, for example, 114040071 + ... + 114040089.

It is an arithmetic number, because the mean of its divisors is an integer number (10619856).

Almost surely, 2^2166761520 is an apocalyptic number.

2166761520 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 2166761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097530880).

2166761520 is an abundant number, since it is smaller than the sum of its proper divisors (8028300240).

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

2166761520 is a wasteful number, since it uses less digits than its factorization.

2166761520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2166761520 is about 46548.4856896548. The cubic root of 2166761520 is about 1294.0082287881.

The spelling of 2166761520 in words is "two billion, one hundred sixty-six million, seven hundred sixty-one thousand, five hundred twenty".