2254800 has 60 divisors (see below), whose sum is σ = 7226720. Its totient is φ = 600960.

The previous prime is 2254799. The next prime is 2254801. The reversal of 2254800 is 84522.

It is an interprime number because it is at equal distance from previous prime (2254799) and next prime (2254801).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261 + ... + 2139.

2^2254800 is an apocalyptic number.

2254800 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 2254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613360).

2254800 is an abundant number, since it is smaller than the sum of its proper divisors (4971920).

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

2254800 is a wasteful number, since it uses less digits than its factorization.

2254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1889 counting only the distinct ones).

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

The square root of 2254800 is about 1501.5991475757. The cubic root of 2254800 is about 131.1301854424.

The spelling of 2254800 in words is "two million, two hundred fifty-four thousand, eight hundred".