2442124800 has 720 divisors, whose sum is σ = 9795511440. Its totient is φ = 578027520.

The previous prime is 2442124787. The next prime is 2442124807. The reversal of 2442124800 is 84212442.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442124807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56793579 + ... + 56793621.

It is an arithmetic number, because the mean of its divisors is an integer number (13604877).

Almost surely, 2^2442124800 is an apocalyptic number.

2442124800 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 2442124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897755720).

2442124800 is an abundant number, since it is smaller than the sum of its proper divisors (7353386640).

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

2442124800 is a wasteful number, since it uses less digits than its factorization.

2442124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2442124800 is about 49417.8591199578. The cubic root of 2442124800 is about 1346.6537702040.

The spelling of 2442124800 in words is "two billion, four hundred forty-two million, one hundred twenty-four thousand, eight hundred".