2627675072 has 112 divisors (see below), whose sum is σ = 6181831680. Its totient is φ = 1094860800.

The previous prime is 2627675069. The next prime is 2627675087. The reversal of 2627675072 is 2705767262.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411488 + ... + 417824.

Almost surely, 2^2627675072 is an apocalyptic number.

2627675072 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 2627675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090915840).

2627675072 is an abundant number, since it is smaller than the sum of its proper divisors (3554156608).

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

2627675072 is a wasteful number, since it uses less digits than its factorization.

2627675072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 44.

The square root of 2627675072 is about 51260.8532117834. The cubic root of 2627675072 is about 1379.9305209016.

The spelling of 2627675072 in words is "two billion, six hundred twenty-seven million, six hundred seventy-five thousand, seventy-two".