2406643200 has 360 divisors, whose sum is σ = 9280999728. Its totient is φ = 592035840.

The previous prime is 2406643163. The next prime is 2406643223. The reversal of 2406643200 is 23466042.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1496797 + ... + 1498403.

Almost surely, 2^2406643200 is an apocalyptic number.

2406643200 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 2406643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640499864).

2406643200 is an abundant number, since it is smaller than the sum of its proper divisors (6874356528).

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

2406643200 is a wasteful number, since it uses less digits than its factorization.

2406643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2406643200 is about 49057.5498776692. The cubic root of 2406643200 is about 1340.1000890561.

The spelling of 2406643200 in words is "two billion, four hundred six million, six hundred forty-three thousand, two hundred".