2471412384 has 480 divisors, whose sum is σ = 8957329920. Its totient is φ = 652810752.

The previous prime is 2471412371. The next prime is 2471412389. The reversal of 2471412384 is 4832141742.

It is a super-2 number, since 2×2471412384² = 12215758343577126912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2471412389) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 23097259 + ... + 23097365.

It is an arithmetic number, because the mean of its divisors is an integer number (18661104).

Almost surely, 2^2471412384 is an apocalyptic number.

2471412384 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 2471412384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478664960).

2471412384 is an abundant number, since it is smaller than the sum of its proper divisors (6485917536).

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

2471412384 is a wasteful number, since it uses less digits than its factorization.

2471412384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2471412384 is about 49713.3018818907. The cubic root of 2471412384 is about 1352.0157147199.

The spelling of 2471412384 in words is "two billion, four hundred seventy-one million, four hundred twelve thousand, three hundred eighty-four".