2027315838240 has 1152 divisors, whose sum is σ = 9057394225152. Its totient is φ = 400390594560.

The previous prime is 2027315838221. The next prime is 2027315838287. The reversal of 2027315838240 is 428385137202.

2027315838240 is a `hidden beast` number, since 2 + 0 + 27 + 3 + 1 + 583 + 8 + 2 + 40 = 666.

It is a super-2 number, since 2×2027315838240² (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 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, 415686682 + ... + 415691558.

It is an arithmetic number, because the mean of its divisors is an integer number (7862321376).

Almost surely, 2^{2027315838240} is an apocalyptic number.

2027315838240 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 2027315838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528697112576).

2027315838240 is an abundant number, since it is smaller than the sum of its proper divisors (7030078386912).

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

2027315838240 is a wasteful number, since it uses less digits than its factorization.

2027315838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2027315838240 in words is "two trillion, twenty-seven billion, three hundred fifteen million, eight hundred thirty-eight thousand, two hundred forty".