2442818883960 has 1024 divisors, whose sum is σ = 10410688512000. Its totient is φ = 495621089280.

The previous prime is 2442818883943. The next prime is 2442818884003. The reversal of 2442818883960 is 693888182442.

2442818883960 is a `hidden beast` number, since 2 + 44 + 28 + 188 + 8 + 396 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 496606381 + ... + 496611299.

It is an arithmetic number, because the mean of its divisors is an integer number (10166688000).

Almost surely, 2^{2442818883960} is an apocalyptic number.

2442818883960 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 2442818883960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205344256000).

2442818883960 is an abundant number, since it is smaller than the sum of its proper divisors (7967869628040).

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

2442818883960 is a wasteful number, since it uses less digits than its factorization.

2442818883960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2442818883960 in words is "two trillion, four hundred forty-two billion, eight hundred eighteen million, eight hundred eighty-three thousand, nine hundred sixty".