2034340224 has 128 divisors (see below), whose sum is σ = 6539097600. Its totient is φ = 547037184.

The previous prime is 2034340201. The next prime is 2034340247. The reversal of 2034340224 is 4220434302.

It is an interprime number because it is at equal distance from previous prime (2034340201) and next prime (2034340247).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2034340194 and 2034340203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23437 + ... + 67955.

It is an arithmetic number, because the mean of its divisors is an integer number (51086700).

Almost surely, 2^2034340224 is an apocalyptic number.

2034340224 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 2034340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269548800).

2034340224 is an abundant number, since it is smaller than the sum of its proper divisors (4504757376).

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

2034340224 is a wasteful number, since it uses less digits than its factorization.

2034340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44560 (or 44548 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2034340224 is about 45103.6608713750. The cubic root of 2034340224 is about 1267.0911631094.

Adding to 2034340224 its reverse (4220434302), we get a palindrome (6254774526).

The spelling of 2034340224 in words is "two billion, thirty-four million, three hundred forty thousand, two hundred twenty-four".