2442874405888 has 704 divisors, whose sum is σ = 6469568064000. Its totient is φ = 915595591680.

The previous prime is 2442874405849. The next prime is 2442874405901. The reversal of 2442874405888 is 8885044782442.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6920323920 + ... + 6920324272.

Almost surely, 2^{2442874405888} is an apocalyptic number.

2442874405888 is a gapful number since it is divisible by the number (28) 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 2442874405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234784032000).

2442874405888 is an abundant number, since it is smaller than the sum of its proper divisors (4026693658112).

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

2442874405888 is a wasteful number, since it uses less digits than its factorization.

2442874405888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 146800640, while the sum is 64.

The spelling of 2442874405888 in words is "two trillion, four hundred forty-two billion, eight hundred seventy-four million, four hundred five thousand, eight hundred eighty-eight".