2142124800 has 432 divisors, whose sum is σ = 7542850560. Its totient is φ = 534528000.

The previous prime is 2142124753. The next prime is 2142124801. The reversal of 2142124800 is 84212412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2142124801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35116770 + ... + 35116830.

Almost surely, 2^2142124800 is an apocalyptic number.

2142124800 is a gapful number since it is divisible by the number (20) 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 2142124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771425280).

2142124800 is an abundant number, since it is smaller than the sum of its proper divisors (5400725760).

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

2142124800 is a wasteful number, since it uses less digits than its factorization.

2142124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2142124800 is about 46283.0941057315. The cubic root of 2142124800 is about 1289.0851033465.

The spelling of 2142124800 in words is "two billion, one hundred forty-two million, one hundred twenty-four thousand, eight hundred".