2642105525 has 24 divisors (see below), whose sum is σ = 3319100064. Its totient is φ = 2086164800.

The previous prime is 2642105513. The next prime is 2642105533. The reversal of 2642105525 is 5255012462.

It is not a de Polignac number, because 2642105525 - 2⁶ = 2642105461 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2642105491 and 2642105500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782090 + ... + 785460.

It is an arithmetic number, because the mean of its divisors is an integer number (138295836).

Almost surely, 2^2642105525 is an apocalyptic number.

2642105525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2642105525 is a deficient number, since it is larger than the sum of its proper divisors (676994539).

2642105525 is a wasteful number, since it uses less digits than its factorization.

2642105525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 2642105525 is about 51401.4155933472. The cubic root of 2642105525 is about 1382.4519743472.

Adding to 2642105525 its reverse (5255012462), we get a palindrome (7897117987).

The spelling of 2642105525 in words is "two billion, six hundred forty-two million, one hundred five thousand, five hundred twenty-five".