2027665180800 has 2304 divisors, whose sum is σ = 9301531449600. Its totient is φ = 420957388800.

The previous prime is 2027665180781. The next prime is 2027665180819. The reversal of 2027665180800 is 80815667202.

It is an interprime number because it is at equal distance from previous prime (2027665180781) and next prime (2027665180819).

It is a super-2 number, since 2×2027665180800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33240412770 + ... + 33240412830.

It is an arithmetic number, because the mean of its divisors is an integer number (4037123025).

Almost surely, 2^{2027665180800} is an apocalyptic number.

2027665180800 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 2027665180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650765724800).

2027665180800 is an abundant number, since it is smaller than the sum of its proper divisors (7273866268800).

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

2027665180800 is a wasteful number, since it uses less digits than its factorization.

2027665180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2027665180800 in words is "two trillion, twenty-seven billion, six hundred sixty-five million, one hundred eighty thousand, eight hundred".