2471525664 has 48 divisors (see below), whose sum is σ = 6538871808. Its totient is φ = 817350912.

The previous prime is 2471525659. The next prime is 2471525669. The reversal of 2471525664 is 4665251742.

It is an interprime number because it is at equal distance from previous prime (2471525659) and next prime (2471525669).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2471525664² = 12216878215621281792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2471525669) 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 7 ways as a sum of consecutive naturals, for example, 89167 + ... + 113550.

It is an arithmetic number, because the mean of its divisors is an integer number (136226496).

Almost surely, 2^2471525664 is an apocalyptic number.

2471525664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2471525664 is an abundant number, since it is smaller than the sum of its proper divisors (4067346144).

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

2471525664 is a wasteful number, since it uses less digits than its factorization.

2471525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202857 (or 202849 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 2471525664 is about 49714.4412017273. The cubic root of 2471525664 is about 1352.0363714641.

The spelling of 2471525664 in words is "two billion, four hundred seventy-one million, five hundred twenty-five thousand, six hundred sixty-four".