2027951202816 has 1920 divisors, whose sum is σ = 8047378268160. Its totient is φ = 492687360000.

The previous prime is 2027951202709. The next prime is 2027951202817. The reversal of 2027951202816 is 6182021597202.

It is a super-2 number, since 2×2027951202816² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2027951202817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13430140341 + ... + 13430140491.

It is an arithmetic number, because the mean of its divisors is an integer number (4191342848).

Almost surely, 2^{2027951202816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027951202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023689134080).

2027951202816 is an abundant number, since it is smaller than the sum of its proper divisors (6019427065344).

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

2027951202816 is a wasteful number, since it uses less digits than its factorization.

2027951202816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2027951202816 in words is "two trillion, twenty-seven billion, nine hundred fifty-one million, two hundred two thousand, eight hundred sixteen".