2422984387824 has 2880 divisors, whose sum is σ = 10511647211520. Its totient is φ = 529079040000.

The previous prime is 2422984387807. The next prime is 2422984387897. The reversal of 2422984387824 is 4287834892242.

2422984387824 is a `hidden beast` number, since 2 + 4 + 22 + 98 + 438 + 78 + 24 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16046254149 + ... + 16046254299.

It is an arithmetic number, because the mean of its divisors is an integer number (3649877504).

Almost surely, 2^{2422984387824} is an apocalyptic number.

2422984387824 is a gapful number since it is divisible by the number (24) 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 2422984387824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255823605760).

2422984387824 is an abundant number, since it is smaller than the sum of its proper divisors (8088662823696).

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

2422984387824 is a wasteful number, since it uses less digits than its factorization.

2422984387824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 2422984387824 in words is "two trillion, four hundred twenty-two billion, nine hundred eighty-four million, three hundred eighty-seven thousand, eight hundred twenty-four".