2034812416 has 240 divisors, whose sum is σ = 5407528896. Its totient is φ = 755564544.

The previous prime is 2034812413. The next prime is 2034812419. The reversal of 2034812416 is 6142184302.

It is an interprime number because it is at equal distance from previous prime (2034812413) and next prime (2034812419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034812413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5544265 + ... + 5544631.

Almost surely, 2^2034812416 is an apocalyptic number.

2034812416 is a gapful number since it is divisible by the number (26) 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 2034812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703764448).

2034812416 is an abundant number, since it is smaller than the sum of its proper divisors (3372716480).

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

2034812416 is a wasteful number, since it uses less digits than its factorization.

2034812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2034812416 is about 45108.8950873328. The cubic root of 2034812416 is about 1267.1891906366.

Adding to 2034812416 its reverse (6142184302), we get a palindrome (8176996718).

The spelling of 2034812416 in words is "two billion, thirty-four million, eight hundred twelve thousand, four hundred sixteen".