2442700800 has 720 divisors, whose sum is σ = 9830620800. Its totient is φ = 597196800.

The previous prime is 2442700789. The next prime is 2442700837. The reversal of 2442700800 is 80072442.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78796785 + ... + 78796815.

It is an arithmetic number, because the mean of its divisors is an integer number (13653640).

Almost surely, 2^2442700800 is an apocalyptic number.

2442700800 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 2442700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915310400).

2442700800 is an abundant number, since it is smaller than the sum of its proper divisors (7387920000).

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

2442700800 is a wasteful number, since it uses less digits than its factorization.

2442700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2442700800 is about 49423.6866289839. The cubic root of 2442700800 is about 1346.7596358824.

The spelling of 2442700800 in words is "two billion, four hundred forty-two million, seven hundred thousand, eight hundred".