2610561700 has 36 divisors (see below), whose sum is σ = 5667176340. Its totient is φ = 1043808640.

The previous prime is 2610561697. The next prime is 2610561703. The reversal of 2610561700 is 71650162.

It is an interprime number because it is at equal distance from previous prime (2610561697) and next prime (2610561703).

It can be written as a sum of positive squares in 6 ways, for example, as 42302016 + 2568259684 = 6504^2 + 50678^2 .

It is not an unprimeable number, because it can be changed into a prime (2610561703) 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 11 ways as a sum of consecutive naturals, for example, 419814 + ... + 425986.

It is an arithmetic number, because the mean of its divisors is an integer number (157421565).

Almost surely, 2^2610561700 is an apocalyptic number.

2610561700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2610561700 is an abundant number, since it is smaller than the sum of its proper divisors (3056614640).

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

2610561700 is a wasteful number, since it uses less digits than its factorization.

2610561700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2610561700 is about 51093.6561619933. The cubic root of 2610561700 is about 1376.9282829655.

The spelling of 2610561700 in words is "two billion, six hundred ten million, five hundred sixty-one thousand, seven hundred".