2124127152 has 240 divisors, whose sum is σ = 7461522432. Its totient is φ = 571069440.

The previous prime is 2124127147. The next prime is 2124127153. The reversal of 2124127152 is 2517214212.

It is a happy number.

It is a super-2 number, since 2×2124127152² = 9023832315727262208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2124127153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460377 + ... + 464967.

Almost surely, 2^2124127152 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 2124127152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730761216).

2124127152 is an abundant number, since it is smaller than the sum of its proper divisors (5337395280).

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

2124127152 is a wasteful number, since it uses less digits than its factorization.

2124127152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4620 counting only the distinct ones).

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

The square root of 2124127152 is about 46088.2539482676. The cubic root of 2124127152 is about 1285.4647447132.

The spelling of 2124127152 in words is "two billion, one hundred twenty-four million, one hundred twenty-seven thousand, one hundred fifty-two".