2627842932 has 192 divisors, whose sum is σ = 8475667200. Its totient is φ = 691752960.

The previous prime is 2627842913. The next prime is 2627842933. The reversal of 2627842932 is 2392487262.

2627842932 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627842933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257544 + ... + 267552.

It is an arithmetic number, because the mean of its divisors is an integer number (44144100).

Almost surely, 2^2627842932 is an apocalyptic number.

2627842932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2627842932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237833600).

2627842932 is an abundant number, since it is smaller than the sum of its proper divisors (5847824268).

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

2627842932 is a wasteful number, since it uses less digits than its factorization.

2627842932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10063 (or 10055 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2627842932 is about 51262.4904974388. The cubic root of 2627842932 is about 1379.9599043171.

The spelling of 2627842932 in words is "two billion, six hundred twenty-seven million, eight hundred forty-two thousand, nine hundred thirty-two".