2466967104000 has 3840 divisors, whose sum is σ = 11777870168064. Its totient is φ = 501645312000.

The previous prime is 2466967103999. The next prime is 2466967104001. The reversal of 2466967104000 is 4017696642.

It is an interprime number because it is at equal distance from previous prime (2466967103999) and next prime (2466967104001).

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is not an unprimeable number, because it can be changed into a prime (2466967104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57371327979 + ... + 57371328021.

Almost surely, 2^{2466967104000} is an apocalyptic number.

2466967104000 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 2466967104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888935084032).

2466967104000 is an abundant number, since it is smaller than the sum of its proper divisors (9310903064064).

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

2466967104000 is an equidigital number, since it uses as much as digits as its factorization.

2466967104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2466967104000 in words is "two trillion, four hundred sixty-six billion, nine hundred sixty-seven million, one hundred four thousand".