2111124960 has 576 divisors, whose sum is σ = 8843627520. Its totient is φ = 447897600.

The previous prime is 2111124929. The next prime is 2111125007. The reversal of 2111124960 is 694211112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13980885 + ... + 13981035.

It is an arithmetic number, because the mean of its divisors is an integer number (15353520).

Almost surely, 2^2111124960 is an apocalyptic number.

2111124960 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 2111124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421813760).

2111124960 is an abundant number, since it is smaller than the sum of its proper divisors (6732502560).

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

2111124960 is a wasteful number, since it uses less digits than its factorization.

2111124960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2111124960 is about 45946.9798789866. The cubic root of 2111124960 is about 1282.8365155492.

The spelling of 2111124960 in words is "two billion, one hundred eleven million, one hundred twenty-four thousand, nine hundred sixty".