2027316117420 has 288 divisors, whose sum is σ = 7183017092160. Its totient is φ = 457362554880.

The previous prime is 2027316117413. The next prime is 2027316117427. The reversal of 2027316117420 is 247116137202.

2027316117420 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 31 + 611 + 7 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2027316117413) and next prime (2027316117427).

It is a super-2 number, since 2×2027316117420² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2027316117427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2657374 + ... + 3334106.

It is an arithmetic number, because the mean of its divisors is an integer number (24941031570).

Almost surely, 2^{2027316117420} is an apocalyptic number.

2027316117420 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 2027316117420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591508546080).

2027316117420 is an abundant number, since it is smaller than the sum of its proper divisors (5155700974740).

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

2027316117420 is a wasteful number, since it uses less digits than its factorization.

2027316117420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676865 (or 676860 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 2027316117420 in words is "two trillion, twenty-seven billion, three hundred sixteen million, one hundred seventeen thousand, four hundred twenty".