2124188352 has 672 divisors, whose sum is σ = 7968227904. Its totient is φ = 530841600.

The previous prime is 2124188333. The next prime is 2124188399. The reversal of 2124188352 is 2538814212.

It is a happy number.

2124188352 is a `hidden beast` number, since 2 + 124 + 188 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51809452 + ... + 51809492.

It is an arithmetic number, because the mean of its divisors is an integer number (11857482).

Almost surely, 2^2124188352 is an apocalyptic number.

2124188352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

2124188352 is an abundant number, since it is smaller than the sum of its proper divisors (5844039552).

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

2124188352 is a wasteful number, since it uses less digits than its factorization.

2124188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2124188352 is about 46088.9178870583. The cubic root of 2124188352 is about 1285.4770901272.

The spelling of 2124188352 in words is "two billion, one hundred twenty-four million, one hundred eighty-eight thousand, three hundred fifty-two".