2413200 has 60 divisors (see below), whose sum is σ = 7734128. Its totient is φ = 643200.

The previous prime is 2413189. The next prime is 2413211. The reversal of 2413200 is 23142.

It is an interprime number because it is at equal distance from previous prime (2413189) and next prime (2413211).

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 195 + ... + 2205.

2^2413200 is an apocalyptic number.

2413200 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 2413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867064).

2413200 is an abundant number, since it is smaller than the sum of its proper divisors (5320928).

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

2413200 is a wasteful number, since it uses less digits than its factorization.

2413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2413200 is about 1553.4477783305. The cubic root of 2413200 is about 134.1316001271.

Adding to 2413200 its reverse (23142), we get a palindrome (2436342).

The spelling of 2413200 in words is "two million, four hundred thirteen thousand, two hundred".