2627948766 has 32 divisors (see below), whose sum is σ = 5491934208. Its totient is φ = 836748000.

The previous prime is 2627948761. The next prime is 2627948779. The reversal of 2627948766 is 6678497262.

2627948766 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 super-2 number, since 2×2627948766² = 13812229433441845512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627948761) 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, 90960 + ... + 116316.

It is an arithmetic number, because the mean of its divisors is an integer number (171622944).

Almost surely, 2^2627948766 is an apocalyptic number.

2627948766 is an abundant number, since it is smaller than the sum of its proper divisors (2863985442).

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

2627948766 is a wasteful number, since it uses less digits than its factorization.

2627948766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26136.

The product of its digits is 12192768, while the sum is 57.

The square root of 2627948766 is about 51263.5227622917. The cubic root of 2627948766 is about 1379.9784296145.

The spelling of 2627948766 in words is "two billion, six hundred twenty-seven million, nine hundred forty-eight thousand, seven hundred sixty-six".