2145072384 has 324 divisors, whose sum is σ = 7663577376. Its totient is φ = 565014528.

The previous prime is 2145072383. The next prime is 2145072401. The reversal of 2145072384 is 4832705412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145072383) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2725239 + ... + 2726025.

Almost surely, 2^2145072384 is an apocalyptic number.

2145072384 is a gapful number since it is divisible by the number (24) 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 2145072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831788688).

2145072384 is an abundant number, since it is smaller than the sum of its proper divisors (5518504992).

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

2145072384 is a wasteful number, since it uses less digits than its factorization.

2145072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2145072384 is about 46314.9261469777. The cubic root of 2145072384 is about 1289.6760967930.

Adding to 2145072384 its reverse (4832705412), we get a palindrome (6977777796).

The spelling of 2145072384 in words is "two billion, one hundred forty-five million, seventy-two thousand, three hundred eighty-four".