2027240160 has 192 divisors, whose sum is σ = 7129140480. Its totient is φ = 479969280.

The previous prime is 2027240153. The next prime is 2027240179. The reversal of 2027240160 is 610427202.

2027240160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2027240160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222576 + ... + 231504.

It is an arithmetic number, because the mean of its divisors is an integer number (37130940).

Almost surely, 2^2027240160 is an apocalyptic number.

2027240160 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 2027240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564570240).

2027240160 is an abundant number, since it is smaller than the sum of its proper divisors (5101900320).

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

2027240160 is a wasteful number, since it uses less digits than its factorization.

2027240160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2027240160 is about 45024.8837866351. The cubic root of 2027240160 is about 1265.6153505010.

Adding to 2027240160 its reverse (610427202), we get a palindrome (2637667362).

The spelling of 2027240160 in words is "two billion, twenty-seven million, two hundred forty thousand, one hundred sixty".