2124428616 has 24 divisors (see below), whose sum is σ = 5753661030. Its totient is φ = 708142848.

The previous prime is 2124428597. The next prime is 2124428617. The reversal of 2124428616 is 6168244212.

2124428616 is a `hidden beast` number, since 2 + 12 + 4 + 4 + 28 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1709491716 + 414936900 = 41346^2 + 20370^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 not an unprimeable number, because it can be changed into a prime (2124428617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14752905 + ... + 14753048.

Almost surely, 2^2124428616 is an apocalyptic number.

It is an amenable number.

2124428616 is an abundant number, since it is smaller than the sum of its proper divisors (3629232414).

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

2124428616 is a wasteful number, since it uses less digits than its factorization.

2124428616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29505965 (or 29505958 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2124428616 is about 46091.5243401648. The cubic root of 2124428616 is about 1285.5255544772.

The spelling of 2124428616 in words is "two billion, one hundred twenty-four million, four hundred twenty-eight thousand, six hundred sixteen".