2124721152 has 352 divisors, whose sum is σ = 6770493440. Its totient is φ = 656916480.

The previous prime is 2124721141. The next prime is 2124721153. The reversal of 2124721152 is 2511274212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2240) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (2124721153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31712223 + ... + 31712289.

Almost surely, 2^2124721152 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 2124721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385246720).

2124721152 is an abundant number, since it is smaller than the sum of its proper divisors (4645772288).

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

2124721152 is a wasteful number, since it uses less digits than its factorization.

2124721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2124721152 is about 46094.6976560211. The cubic root of 2124721152 is about 1285.5845578316.

Adding to 2124721152 its reverse (2511274212), we get a palindrome (4635995364).

The spelling of 2124721152 in words is "two billion, one hundred twenty-four million, seven hundred twenty-one thousand, one hundred fifty-two".