2027627640 has 80 divisors (see below), whose sum is σ = 6815092680. Its totient is φ = 540699840.

The previous prime is 2027627593. The next prime is 2027627647. The reversal of 2027627640 is 467267202.

2027627640 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 6 + 2 + 7 + 640 = 666.

2027627640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2027627640² = 8222547692983939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2027627595 and 2027627604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027627647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309666 + ... + 316145.

Almost surely, 2^2027627640 is an apocalyptic number.

2027627640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2027627640 is an abundant number, since it is smaller than the sum of its proper divisors (4787465040).

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

2027627640 is a wasteful number, since it uses less digits than its factorization.

2027627640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625834 (or 625821 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2027627640 is about 45029.1865349575. The cubic root of 2027627640 is about 1265.6959805458.

The spelling of 2027627640 in words is "two billion, twenty-seven million, six hundred twenty-seven thousand, six hundred forty".