2144900 has 36 divisors (see below), whose sum is σ = 4726260. Its totient is φ = 844800.

The previous prime is 2144899. The next prime is 2144951. The reversal of 2144900 is 94412.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 2079364 = 256^2 + 1442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8780 + ... + 9020.

It is an arithmetic number, because the mean of its divisors is an integer number (131285).

2^2144900 is an apocalyptic number.

2144900 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 2144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363130).

2144900 is an abundant number, since it is smaller than the sum of its proper divisors (2581360).

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

2144900 is a wasteful number, since it uses less digits than its factorization.

2144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2144900 is about 1464.5477117527. The cubic root of 2144900 is about 128.9641548545.

The spelling of 2144900 in words is "two million, one hundred forty-four thousand, nine hundred".