2466133836012 has 288 divisors, whose sum is σ = 8297267457024. Its totient is φ = 602873187840.

The previous prime is 2466133835983. The next prime is 2466133836017. The reversal of 2466133836012 is 2106383316642.

2466133836012 is a `hidden beast` number, since 2 + 4 + 6 + 6 + 1 + 3 + 38 + 3 + 601 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2466133836017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5485753 + ... + 5918255.

It is an arithmetic number, because the mean of its divisors is an integer number (28809956448).

Almost surely, 2^{2466133836012} is an apocalyptic number.

2466133836012 is a gapful number since it is divisible by the number (22) 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 2466133836012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148633728512).

2466133836012 is an abundant number, since it is smaller than the sum of its proper divisors (5831133621012).

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

2466133836012 is a wasteful number, since it uses less digits than its factorization.

2466133836012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432570 (or 432543 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2466133836012 in words is "two trillion, four hundred sixty-six billion, one hundred thirty-three million, eight hundred thirty-six thousand, twelve".