2412471516000 has 768 divisors, whose sum is σ = 9793028044800. Its totient is φ = 505554739200.

The previous prime is 2412471515981. The next prime is 2412471516001. The reversal of 2412471516000 is 6151742142.

It is a super-2 number, since 2×2412471516000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412471516001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162700587 + ... + 162715413.

It is an arithmetic number, because the mean of its divisors is an integer number (12751338600).

Almost surely, 2^{2412471516000} is an apocalyptic number.

2412471516000 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 2412471516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896514022400).

2412471516000 is an abundant number, since it is smaller than the sum of its proper divisors (7380556528800).

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

2412471516000 is a wasteful number, since it uses less digits than its factorization.

2412471516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15024 (or 15006 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 2412471516000 in words is "two trillion, four hundred twelve billion, four hundred seventy-one million, five hundred sixteen thousand".