2642129757 has 12 divisors (see below), whose sum is σ = 3829994844. Its totient is φ = 1755149760.

The previous prime is 2642129753. The next prime is 2642129813. The reversal of 2642129757 is 7579212462.

It can be written as a sum of positive squares in 2 ways, for example, as 1010858436 + 1631271321 = 31794^2 + 40389^2 .

It is not a de Polignac number, because 2642129757 - 2² = 2642129753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642129753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519838 + ... + 524895.

It is an arithmetic number, because the mean of its divisors is an integer number (319166237).

Almost surely, 2^2642129757 is an apocalyptic number.

It is an amenable number.

2642129757 is a deficient number, since it is larger than the sum of its proper divisors (1187865087).

2642129757 is a wasteful number, since it uses less digits than its factorization.

2642129757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045020 (or 1045017 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2642129757 is about 51401.6513061594. The cubic root of 2642129757 is about 1382.4562007080.

The spelling of 2642129757 in words is "two billion, six hundred forty-two million, one hundred twenty-nine thousand, seven hundred fifty-seven".