2034513600 has 336 divisors, whose sum is σ = 7698126336. Its totient is φ = 460800000.

The previous prime is 2034513587. The next prime is 2034513617. The reversal of 2034513600 is 63154302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5073400 + ... + 5073800.

Almost surely, 2^2034513600 is an apocalyptic number.

2034513600 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 2034513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849063168).

2034513600 is an abundant number, since it is smaller than the sum of its proper divisors (5663612736).

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

2034513600 is a wasteful number, since it uses less digits than its factorization.

2034513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2034513600 is about 45105.5828030190. The cubic root of 2034513600 is about 1267.1271579010.

Adding to 2034513600 its reverse (63154302), we get a palindrome (2097667902).

The spelling of 2034513600 in words is "two billion, thirty-four million, five hundred thirteen thousand, six hundred".