2034454400 has 192 divisors, whose sum is σ = 5674525200. Its totient is φ = 713932800.

The previous prime is 2034454381. The next prime is 2034454427. The reversal of 2034454400 is 44544302.

It is a self number, because there is not a number n which added to its sum of digits gives 2034454400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019804 + ... + 1021796.

Almost surely, 2^2034454400 is an apocalyptic number.

2034454400 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 2034454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837262600).

2034454400 is an abundant number, since it is smaller than the sum of its proper divisors (3640070800).

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

2034454400 is a wasteful number, since it uses less digits than its factorization.

2034454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2034454400 is about 45104.9265601885. The cubic root of 2034454400 is about 1267.1148675505.

Adding to 2034454400 its reverse (44544302), we get a palindrome (2078998702).

The spelling of 2034454400 in words is "two billion, thirty-four million, four hundred fifty-four thousand, four hundred".