2628727440 has 40 divisors (see below), whose sum is σ = 8149055808. Its totient is φ = 700993920.

The previous prime is 2628727433. The next prime is 2628727447. The reversal of 2628727440 is 447278262.

It is an interprime number because it is at equal distance from previous prime (2628727433) and next prime (2628727447).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2628727392 and 2628727401.

It is not an unprimeable number, because it can be changed into a prime (2628727447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5476276 + ... + 5476755.

Almost surely, 2^2628727440 is an apocalyptic number.

2628727440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628727440 is an abundant number, since it is smaller than the sum of its proper divisors (5520328368).

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

2628727440 is a wasteful number, since it uses less digits than its factorization.

2628727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953047 (or 10953041 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2628727440 is about 51271.1170153333. The cubic root of 2628727440 is about 1380.1147142615.

The spelling of 2628727440 in words is "two billion, six hundred twenty-eight million, seven hundred twenty-seven thousand, four hundred forty".