2642042637 has 64 divisors (see below), whose sum is σ = 4452618240. Its totient is φ = 1536055488.

The previous prime is 2642042603. The next prime is 2642042653. The reversal of 2642042637 is 7362402462.

2642042637 is a `hidden beast` number, since 2 + 642 + 0 + 4 + 2 + 6 + 3 + 7 = 666.

It is not a de Polignac number, because 2642042637 - 2⁷ = 2642042509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642042657) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 668088 + ... + 672030.

It is an arithmetic number, because the mean of its divisors is an integer number (69572160).

Almost surely, 2^2642042637 is an apocalyptic number.

2642042637 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2642042637 is a deficient number, since it is larger than the sum of its proper divisors (1810575603).

2642042637 is a wasteful number, since it uses less digits than its factorization.

2642042637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2642042637 is about 51400.8038555819. The cubic root of 2642042637 is about 1382.4410057808.

The spelling of 2642042637 in words is "two billion, six hundred forty-two million, forty-two thousand, six hundred thirty-seven".