2398742221824 has 528 divisors, whose sum is σ = 7761295284288. Its totient is φ = 735603130368.

The previous prime is 2398742221807. The next prime is 2398742221831. The reversal of 2398742221824 is 4281222478932.

It is a happy number.

2398742221824 is a `hidden beast` number, since 2 + 39 + 8 + 7 + 422 + 2 + 182 + 4 = 666.

It is a super-2 number, since 2×2398742221824² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122480084 + ... + 1122482220.

Almost surely, 2^{2398742221824} is an apocalyptic number.

2398742221824 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 2398742221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880647642144).

2398742221824 is an abundant number, since it is smaller than the sum of its proper divisors (5362553062464).

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

2398742221824 is a wasteful number, since it uses less digits than its factorization.

2398742221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2502 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 2398742221824 in words is "two trillion, three hundred ninety-eight billion, seven hundred forty-two million, two hundred twenty-one thousand, eight hundred twenty-four".