2116142560 has 96 divisors (see below), whose sum is σ = 5757599232. Its totient is φ = 719946240.

The previous prime is 2116142549. The next prime is 2116142579. The reversal of 2116142560 is 652416112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139509 + ... + 153931.

It is an arithmetic number, because the mean of its divisors is an integer number (59974992).

Almost surely, 2^2116142560 is an apocalyptic number.

2116142560 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 2116142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878799616).

2116142560 is an abundant number, since it is smaller than the sum of its proper divisors (3641456672).

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

2116142560 is a wasteful number, since it uses less digits than its factorization.

2116142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14576 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2116142560 is about 46001.5495391188. The cubic root of 2116142560 is about 1283.8520353689.

Adding to 2116142560 its reverse (652416112), we get a palindrome (2768558672).

The spelling of 2116142560 in words is "two billion, one hundred sixteen million, one hundred forty-two thousand, five hundred sixty".