2782525000 has 48 divisors (see below), whose sum is σ = 6521184180. Its totient is φ = 1113000000.

The previous prime is 2782524991. The next prime is 2782525033. The reversal of 2782525000 is 5252872.

It can be written as a sum of positive squares in 6 ways, for example, as 33200644 + 2749324356 = 5762^2 + 52434^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30651 + ... + 80650.

Almost surely, 2^2782525000 is an apocalyptic number.

2782525000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782525000 is an abundant number, since it is smaller than the sum of its proper divisors (3738659180).

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

2782525000 is an equidigital number, since it uses as much as digits as its factorization.

2782525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111332 (or 111308 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 2782525000 is about 52749.6445485654. The cubic root of 2782525000 is about 1406.5214455424.

Adding to 2782525000 its reverse (5252872), we get a palindrome (2787777872).

It can be divided in two parts, 27825 and 25000, that added together give a palindrome (52825).

The spelling of 2782525000 in words is "two billion, seven hundred eighty-two million, five hundred twenty-five thousand".