2484174336000 has 1664 divisors, whose sum is σ = 10127504424960. Its totient is φ = 528482304000.

The previous prime is 2484174335987. The next prime is 2484174336013. The reversal of 2484174336000 is 6334714842.

It is an interprime number because it is at equal distance from previous prime (2484174335987) and next prime (2484174336013).

It is a super-2 number, since 2×2484174336000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 9666047872 + ... + 9666048128.

It is an arithmetic number, because the mean of its divisors is an integer number (6086240640).

Almost surely, 2^{2484174336000} is an apocalyptic number.

2484174336000 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 2484174336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063752212480).

2484174336000 is an abundant number, since it is smaller than the sum of its proper divisors (7643330088960).

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

2484174336000 is a wasteful number, since it uses less digits than its factorization.

2484174336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 2484174336000 in words is "two trillion, four hundred eighty-four billion, one hundred seventy-four million, three hundred thirty-six thousand".