2124166772 has 48 divisors (see below), whose sum is σ = 4599232512. Its totient is φ = 835902720.

The previous prime is 2124166747. The next prime is 2124166777. The reversal of 2124166772 is 2776614212.

It is a super-3 number, since 3×2124166772³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124166777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54248 + ... + 84800.

It is an arithmetic number, because the mean of its divisors is an integer number (95817344).

Almost surely, 2^2124166772 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 2124166772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299616256).

2124166772 is an abundant number, since it is smaller than the sum of its proper divisors (2475065740).

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

2124166772 is a wasteful number, since it uses less digits than its factorization.

2124166772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30768 (or 30766 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 2124166772 is about 46088.6837737855. The cubic root of 2124166772 is about 1285.4727369837.

The spelling of 2124166772 in words is "two billion, one hundred twenty-four million, one hundred sixty-six thousand, seven hundred seventy-two".