2054400 has 108 divisors (see below), whose sum is σ = 6843312. Its totient is φ = 542720.

The previous prime is 2054369. The next prime is 2054443. The reversal of 2054400 is 44502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2054400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19147 + ... + 19253.

It is an arithmetic number, because the mean of its divisors is an integer number (63364).

2^2054400 is an apocalyptic number.

2054400 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 2054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421656).

2054400 is an abundant number, since it is smaller than the sum of its proper divisors (4788912).

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

2054400 is a wasteful number, since it uses less digits than its factorization.

2054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2054400 is about 1433.3178293735. The cubic root of 2054400 is about 127.1242300220.

Adding to 2054400 its reverse (44502), we get a palindrome (2098902).

The spelling of 2054400 in words is "two million, fifty-four thousand, four hundred".