2054430400 has 168 divisors, whose sum is σ = 5568933744. Its totient is φ = 739737600.

The previous prime is 2054430397. The next prime is 2054430431. The reversal of 2054430400 is 40344502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1988284 + ... + 1989316.

Almost surely, 2^2054430400 is an apocalyptic number.

2054430400 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 2054430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784466872).

2054430400 is an abundant number, since it is smaller than the sum of its proper divisors (3514503344).

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

2054430400 is a wasteful number, since it uses less digits than its factorization.

2054430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2054430400 is about 45325.8248683904. The cubic root of 2054430400 is about 1271.2485705946.

Adding to 2054430400 its reverse (40344502), we get a palindrome (2094774902).

The spelling of 2054430400 in words is "two billion, fifty-four million, four hundred thirty thousand, four hundred".