2422400640000 has 660 divisors, whose sum is σ = 8869140429072. Its totient is φ = 587192320000.

The previous prime is 2422400639993. The next prime is 2422400640017. The reversal of 2422400640000 is 460042242.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232314787 + ... + 232325213.

Almost surely, 2^{2422400640000} is an apocalyptic number.

2422400640000 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 2422400640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434570214536).

2422400640000 is an abundant number, since it is smaller than the sum of its proper divisors (6446739789072).

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

2422400640000 is a wasteful number, since it uses less digits than its factorization.

2422400640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2422400640000 its reverse (460042242), we get a palindrome (2422860682242).

The spelling of 2422400640000 in words is "two trillion, four hundred twenty-two billion, four hundred million, six hundred forty thousand".