2625664041 has 96 divisors (see below), whose sum is σ = 5230487808. Its totient is φ = 1224875520.

The previous prime is 2625664007. The next prime is 2625664051. The reversal of 2625664041 is 1404665262.

2625664041 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 6 + 640 + 4 + 1 = 666.

It is not a de Polignac number, because 2625664041 - 2¹¹ = 2625661993 is a prime.

It is a super-2 number, since 2×2625664041² = 13788223312400899362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2625663987 and 2625664005.

It is not an unprimeable number, because it can be changed into a prime (2625664001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 329395 + ... + 337271.

It is an arithmetic number, because the mean of its divisors is an integer number (54484248).

Almost surely, 2^2625664041 is an apocalyptic number.

2625664041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2625664041 is a deficient number, since it is larger than the sum of its proper divisors (2604823767).

2625664041 is a wasteful number, since it uses less digits than its factorization.

2625664041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2625664041 is about 51241.2337966213. The cubic root of 2625664041 is about 1379.5783983054.

It can be divided in two parts, 2625 and 664041, that added together give a palindrome (666666).

The spelling of 2625664041 in words is "two billion, six hundred twenty-five million, six hundred sixty-four thousand, forty-one".