2116409760 has 72 divisors (see below), whose sum is σ = 7222253220. Its totient is φ = 564375552.

The previous prime is 2116409749. The next prime is 2116409761. The reversal of 2116409760 is 679046112.

2116409760 is a `hidden beast` number, since 2 + 1 + 1 + 640 + 9 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2017447056 + 98962704 = 44916^2 + 9948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2116409761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 733425 + ... + 736304.

Almost surely, 2^2116409760 is an apocalyptic number.

2116409760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116409760 is an abundant number, since it is smaller than the sum of its proper divisors (5105843460).

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

2116409760 is a wasteful number, since it uses less digits than its factorization.

2116409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469750 (or 1469739 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2116409760 is about 46004.4536974411. The cubic root of 2116409760 is about 1283.9060693508.

The spelling of 2116409760 in words is "two billion, one hundred sixteen million, four hundred nine thousand, seven hundred sixty".