2048400 has 90 divisors (see below), whose sum is σ = 7121010. Its totient is φ = 545280.

The previous prime is 2048369. The next prime is 2048413. The reversal of 2048400 is 48402.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 2039184 = 96^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3316 + ... + 3884.

2^2048400 is an apocalyptic number.

2048400 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 2048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560505).

2048400 is an abundant number, since it is smaller than the sum of its proper divisors (5072610).

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

2048400 is a wasteful number, since it uses less digits than its factorization.

2048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2048400 is about 1431.2232530252. The cubic root of 2048400 is about 127.0003513331. Note that the first 3 decimals are identical.

The spelling of 2048400 in words is "two million, forty-eight thousand, four hundred".