2471483664 has 200 divisors, whose sum is σ = 8157524760. Its totient is φ = 715640832.

The previous prime is 2471483657. The next prime is 2471483671. The reversal of 2471483664 is 4663841742.

2471483664 is a `hidden beast` number, since 247 + 1 + 48 + 366 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2471483657) and next prime (2471483671).

It can be written as a sum of positive squares in 4 ways, for example, as 542517264 + 1928966400 = 23292^2 + 43920^2 .

It is a super-2 number, since 2×2471483664² = 12216463002837729792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282102 + ... + 290730.

Almost surely, 2^2471483664 is an apocalyptic number.

2471483664 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 2471483664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078762380).

2471483664 is an abundant number, since it is smaller than the sum of its proper divisors (5686041096).

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

2471483664 is a wasteful number, since it uses less digits than its factorization.

2471483664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679 (or 8664 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2471483664 is about 49714.0187874607. The cubic root of 2471483664 is about 1352.0287127873.

The spelling of 2471483664 in words is "two billion, four hundred seventy-one million, four hundred eighty-three thousand, six hundred sixty-four".