2124514116 has 144 divisors (see below), whose sum is σ = 5771808000. Its totient is φ = 675462528.

The previous prime is 2124514061. The next prime is 2124514129. The reversal of 2124514116 is 6114154212.

2124514116 is a `hidden beast` number, since 2 + 1 + 245 + 1 + 411 + 6 = 666.

It is a super-2 number, since 2×2124514116² = 9027120458166522912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2124514116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14258410 + ... + 14258558.

It is an arithmetic number, because the mean of its divisors is an integer number (40082000).

Almost surely, 2^2124514116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124514116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885904000).

2124514116 is an abundant number, since it is smaller than the sum of its proper divisors (3647293884).

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

2124514116 is a wasteful number, since it uses less digits than its factorization.

2124514116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 254 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2124514116 is about 46092.4518332449. The cubic root of 2124514116 is about 1285.5428000493.

Adding to 2124514116 its reverse (6114154212), we get a palindrome (8238668328).

The spelling of 2124514116 in words is "two billion, one hundred twenty-four million, five hundred fourteen thousand, one hundred sixteen".