2027415738920 has 128 divisors (see below), whose sum is σ = 5359833037440. Its totient is φ = 680448599040.

The previous prime is 2027415738913. The next prime is 2027415738961. The reversal of 2027415738920 is 298375147202.

It is a super-2 number, since 2×2027415738920² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63573299 + ... + 63605181.

It is an arithmetic number, because the mean of its divisors is an integer number (41873695605).

Almost surely, 2^{2027415738920} is an apocalyptic number.

2027415738920 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 2027415738920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679916518720).

2027415738920 is an abundant number, since it is smaller than the sum of its proper divisors (3332417298520).

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

2027415738920 is a wasteful number, since it uses less digits than its factorization.

2027415738920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43035 (or 43031 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 2027415738920 in words is "two trillion, twenty-seven billion, four hundred fifteen million, seven hundred thirty-eight thousand, nine hundred twenty".