2124016000 has 64 divisors (see below), whose sum is σ = 5280874560. Its totient is φ = 849600000.

The previous prime is 2124015997. The next prime is 2124016001. The reversal of 2124016000 is 6104212.

2124016000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2124016000² = 9022887936512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124016001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50376 + ... + 82375.

It is an arithmetic number, because the mean of its divisors is an integer number (82513665).

Almost surely, 2^2124016000 is an apocalyptic number.

2124016000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124016000 is an abundant number, since it is smaller than the sum of its proper divisors (3156858560).

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

2124016000 is an equidigital number, since it uses as much as digits as its factorization.

2124016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132780 (or 132758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2124016000 is about 46087.0480720994. The cubic root of 2124016000 is about 1285.4423222530.

The spelling of 2124016000 in words is "two billion, one hundred twenty-four million, sixteen thousand".