2561007620 has 24 divisors (see below), whose sum is σ = 5383287000. Its totient is φ = 1023418112.

The previous prime is 2561007613. The next prime is 2561007623. The reversal of 2561007620 is 267001652.

It can be written as a sum of positive squares in 4 ways, for example, as 137217796 + 2423789824 = 11714^2 + 49232^2 .

It is not an unprimeable number, because it can be changed into a prime (2561007623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40055 + ... + 82014.

It is an arithmetic number, because the mean of its divisors is an integer number (224303625).

Almost surely, 2^2561007620 is an apocalyptic number.

2561007620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561007620 is an abundant number, since it is smaller than the sum of its proper divisors (2822279380).

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

2561007620 is a wasteful number, since it uses less digits than its factorization.

2561007620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123127 (or 123125 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2561007620 is about 50606.3990024977. The cubic root of 2561007620 is about 1368.1602135865.

The spelling of 2561007620 in words is "two billion, five hundred sixty-one million, seven thousand, six hundred twenty".