2141615160 has 256 divisors, whose sum is σ = 7531315200. Its totient is φ = 540518400.

The previous prime is 2141615111. The next prime is 2141615183. The reversal of 2141615160 is 615161412.

2141615160 is a `hidden beast` number, since 2 + 1 + 41 + 615 + 1 + 6 + 0 = 666.

It is a super-3 number, since 3×2141615160³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572880 + ... + 1574240.

It is an arithmetic number, because the mean of its divisors is an integer number (29419200).

Almost surely, 2^2141615160 is an apocalyptic number.

2141615160 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 2141615160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765657600).

2141615160 is an abundant number, since it is smaller than the sum of its proper divisors (5389700040).

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

2141615160 is a wasteful number, since it uses less digits than its factorization.

2141615160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2141615160 is about 46277.5880961832. The cubic root of 2141615160 is about 1288.9828650705.

Adding to 2141615160 its reverse (615161412), we get a palindrome (2756776572).

The spelling of 2141615160 in words is "two billion, one hundred forty-one million, six hundred fifteen thousand, one hundred sixty".