2034544120 has 128 divisors (see below), whose sum is σ = 5479280640. Its totient is φ = 664773120.

The previous prime is 2034544103. The next prime is 2034544157. The reversal of 2034544120 is 214454302.

It is a happy number.

It is a congruent number.

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, 2775274 + ... + 2776006.

It is an arithmetic number, because the mean of its divisors is an integer number (42806880).

Almost surely, 2^2034544120 is an apocalyptic number.

2034544120 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 2034544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739640320).

2034544120 is an abundant number, since it is smaller than the sum of its proper divisors (3444736520).

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

2034544120 is a wasteful number, since it uses less digits than its factorization.

2034544120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2034544120 is about 45105.9211190726. The cubic root of 2034544120 is about 1267.1334939817.

Adding to 2034544120 its reverse (214454302), we get a palindrome (2248998422).

The spelling of 2034544120 in words is "two billion, thirty-four million, five hundred forty-four thousand, one hundred twenty".