2442765600 has 720 divisors, whose sum is σ = 10208721600. Its totient is φ = 562636800.

The previous prime is 2442765551. The next prime is 2442765607. The reversal of 2442765600 is 65672442.

2442765600 is a `hidden beast` number, since 2 + 4 + 42 + 7 + 6 + 5 + 600 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (2442765607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16394326 + ... + 16394474.

It is an arithmetic number, because the mean of its divisors is an integer number (14178780).

Almost surely, 2^2442765600 is an apocalyptic number.

2442765600 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 2442765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104360800).

2442765600 is an abundant number, since it is smaller than the sum of its proper divisors (7765956000).

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

2442765600 is a wasteful number, since it uses less digits than its factorization.

2442765600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2442765600 is about 49424.3421807514. The cubic root of 2442765600 is about 1346.7715447298.

The spelling of 2442765600 in words is "two billion, four hundred forty-two million, seven hundred sixty-five thousand, six hundred".