2027382245504 has 128 divisors (see below), whose sum is σ = 5039457793920. Its totient is φ = 789275197440.

The previous prime is 2027382245501. The next prime is 2027382245527. The reversal of 2027382245504 is 4055422837202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2027382245504² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2027382245501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12703934 + ... + 12862530.

It is an arithmetic number, because the mean of its divisors is an integer number (39370764015).

Almost surely, 2^{2027382245504} 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 2027382245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519728896960).

2027382245504 is an abundant number, since it is smaller than the sum of its proper divisors (3012075548416).

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

2027382245504 is a wasteful number, since it uses less digits than its factorization.

2027382245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159926 (or 159914 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

The spelling of 2027382245504 in words is "two trillion, twenty-seven billion, three hundred eighty-two million, two hundred forty-five thousand, five hundred four".