2027419434768 has 480 divisors, whose sum is σ = 7006561551360. Its totient is φ = 499605442560.

The previous prime is 2027419434763. The next prime is 2027419434773. The reversal of 2027419434768 is 8674349147202.

It is an interprime number because it is at equal distance from previous prime (2027419434763) and next prime (2027419434773).

It is a super-2 number, since 2×2027419434768² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2027419434763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27450946 + ... + 27524702.

It is an arithmetic number, because the mean of its divisors is an integer number (14597003232).

Almost surely, 2^{2027419434768} is an apocalyptic number.

2027419434768 is a gapful number since it is divisible by the number (28) 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 2027419434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503280775680).

2027419434768 is an abundant number, since it is smaller than the sum of its proper divisors (4979142116592).

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

2027419434768 is a wasteful number, since it uses less digits than its factorization.

2027419434768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73855 (or 73842 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 2027419434768 in words is "two trillion, twenty-seven billion, four hundred nineteen million, four hundred thirty-four thousand, seven hundred sixty-eight".