2682144025 has 96 divisors (see below), whose sum is σ = 4085452800. Its totient is φ = 1723680000.

The previous prime is 2682144019. The next prime is 2682144037. The reversal of 2682144025 is 5204412862.

It is not a de Polignac number, because 2682144025 - 2⁷ = 2682143897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4696990 + ... + 4697560.

It is an arithmetic number, because the mean of its divisors is an integer number (42556800).

Almost surely, 2^2682144025 is an apocalyptic number.

2682144025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2682144025 is a deficient number, since it is larger than the sum of its proper divisors (1403308775).

2682144025 is a wasteful number, since it uses less digits than its factorization.

2682144025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 2682144025 is about 51789.4200102685. The cubic root of 2682144025 is about 1389.4002251682.

Adding to 2682144025 its reverse (5204412862), we get a palindrome (7886556887).

The spelling of 2682144025 in words is "two billion, six hundred eighty-two million, one hundred forty-four thousand, twenty-five".