2034225144 has 128 divisors (see below), whose sum is σ = 6517632000. Its totient is φ = 575828352.

The previous prime is 2034225113. The next prime is 2034225173. The reversal of 2034225144 is 4415224302.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 158637 + ... + 170979.

It is an arithmetic number, because the mean of its divisors is an integer number (50919000).

Almost surely, 2^2034225144 is an apocalyptic number.

2034225144 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 2034225144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258816000).

2034225144 is an abundant number, since it is smaller than the sum of its proper divisors (4483406856).

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

2034225144 is a wasteful number, since it uses less digits than its factorization.

2034225144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12474 (or 12464 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2034225144 is about 45102.3851254011. The cubic root of 2034225144 is about 1267.0672700885.

Adding to 2034225144 its reverse (4415224302), we get a palindrome (6449449446).

The spelling of 2034225144 in words is "two billion, thirty-four million, two hundred twenty-five thousand, one hundred forty-four".