2406895621200 has 720 divisors, whose sum is σ = 9832210876800. Its totient is φ = 544976087040.

The previous prime is 2406895621187. The next prime is 2406895621241. The reversal of 2406895621200 is 21265986042.

2406895621200 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 89 + 562 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132114492 + ... + 132132708.

It is an arithmetic number, because the mean of its divisors is an integer number (13655848440).

Almost surely, 2^{2406895621200} is an apocalyptic number.

2406895621200 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 2406895621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916105438400).

2406895621200 is an abundant number, since it is smaller than the sum of its proper divisors (7425315255600).

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

2406895621200 is a wasteful number, since it uses less digits than its factorization.

2406895621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18369 (or 18341 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2406895621200 in words is "two trillion, four hundred six billion, eight hundred ninety-five million, six hundred twenty-one thousand, two hundred".