2471115998400 has 336 divisors, whose sum is σ = 9292101100800. Its totient is φ = 563205427200.

The previous prime is 2471115998369. The next prime is 2471115998411. The reversal of 2471115998400 is 48995111742.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2471115998400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11621035 + ... + 11831765.

It is an arithmetic number, because the mean of its divisors is an integer number (27655062800).

Almost surely, 2^{2471115998400} is an apocalyptic number.

2471115998400 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 2471115998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646050550400).

2471115998400 is an abundant number, since it is smaller than the sum of its proper divisors (6820985102400).

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

2471115998400 is a wasteful number, since it uses less digits than its factorization.

2471115998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211112 (or 211097 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 2471115998400 in words is "two trillion, four hundred seventy-one billion, one hundred fifteen million, nine hundred ninety-eight thousand, four hundred".