2027648000 has 352 divisors, whose sum is σ = 6049425408. Its totient is φ = 663552000.

The previous prime is 2027647933. The next prime is 2027648011. The reversal of 2027648000 is 8467202.

It is a super-2 number, since 2×2027648000² = 8222712823808000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27775964 + ... + 27776036.

Almost surely, 2^2027648000 is an apocalyptic number.

2027648000 is a gapful number since it is divisible by the number (20) 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 2027648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024712704).

2027648000 is an abundant number, since it is smaller than the sum of its proper divisors (4021777408).

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

2027648000 is an equidigital number, since it uses as much as digits as its factorization.

2027648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2027648000 is about 45029.4126099819. The cubic root of 2027648000 is about 1265.7002169391.

The spelling of 2027648000 in words is "two billion, twenty-seven million, six hundred forty-eight thousand".