2627670642 has 32 divisors (see below), whose sum is σ = 5383563264. Its totient is φ = 854634000.

The previous prime is 2627670631. The next prime is 2627670649. The reversal of 2627670642 is 2460767262.

2627670642 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2627670594 and 2627670603.

It is not an unprimeable number, because it can be changed into a prime (2627670649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79267 + ... + 107417.

It is an arithmetic number, because the mean of its divisors is an integer number (168236352).

Almost surely, 2^2627670642 is an apocalyptic number.

2627670642 is an abundant number, since it is smaller than the sum of its proper divisors (2755892622).

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

2627670642 is a wasteful number, since it uses less digits than its factorization.

2627670642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28534.

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 2627670642 is about 51260.8100014036. The cubic root of 2627670642 is about 1379.9297454258.

The spelling of 2627670642 in words is "two billion, six hundred twenty-seven million, six hundred seventy thousand, six hundred forty-two".