2946116124 has 120 divisors (see below), whose sum is σ = 9086128128. Its totient is φ = 814574880.

The previous prime is 2946116113. The next prime is 2946116179. The reversal of 2946116124 is 4216116492.

2946116124 is a `hidden beast` number, since 29 + 4 + 6 + 11 + 612 + 4 = 666.

2946116124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2946116124³ (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49357 + ... + 91259.

Almost surely, 2^2946116124 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 2946116124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543064064).

2946116124 is an abundant number, since it is smaller than the sum of its proper divisors (6140012004).

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

2946116124 is a wasteful number, since it uses less digits than its factorization.

2946116124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41957 (or 41946 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2946116124 is about 54278.1367034647. The cubic root of 2946116124 is about 1433.5624617057.

The spelling of 2946116124 in words is "two billion, nine hundred forty-six million, one hundred sixteen thousand, one hundred twenty-four".