2406306213900 has 216 divisors, whose sum is σ = 7874071339680. Its totient is φ = 613493422080.

The previous prime is 2406306213881. The next prime is 2406306213907. The reversal of 2406306213900 is 93126036042.

2406306213900 is a `hidden beast` number, since 2 + 4 + 0 + 630 + 6 + 2 + 13 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2406306213907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45782836 + ... + 45835364.

It is an arithmetic number, because the mean of its divisors is an integer number (36454033980).

Almost surely, 2^{2406306213900} is an apocalyptic number.

2406306213900 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 2406306213900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937035669840).

2406306213900 is an abundant number, since it is smaller than the sum of its proper divisors (5467765125780).

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

2406306213900 is a wasteful number, since it uses less digits than its factorization.

2406306213900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54785 (or 54775 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 2406306213900 in words is "two trillion, four hundred six billion, three hundred six million, two hundred thirteen thousand, nine hundred".