2054114400 has 144 divisors (see below), whose sum is σ = 7200570384. Its totient is φ = 505620480.

The previous prime is 2054114371. The next prime is 2054114449. The reversal of 2054114400 is 44114502.

It is a happy number.

2054114400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 1719 + ... + 64118.

It is an arithmetic number, because the mean of its divisors is an integer number (50003961).

Almost surely, 2^2054114400 is an apocalyptic number.

2054114400 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 2054114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600285192).

2054114400 is an abundant number, since it is smaller than the sum of its proper divisors (5146455984).

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

2054114400 is a wasteful number, since it uses less digits than its factorization.

2054114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65873 (or 65860 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2054114400 is about 45322.3388628610. The cubic root of 2054114400 is about 1271.1833886758.

Adding to 2054114400 its reverse (44114502), we get a palindrome (2098228902).

The spelling of 2054114400 in words is "two billion, fifty-four million, one hundred fourteen thousand, four hundred".