2468926891200 has 1344 divisors, whose sum is σ = 10729144147968. Its totient is φ = 481212825600.

The previous prime is 2468926891187. The next prime is 2468926891237. The reversal of 2468926891200 is 21986298642.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2783457157 + ... + 2783458043.

Almost surely, 2^{2468926891200} is an apocalyptic number.

2468926891200 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 2468926891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364572073984).

2468926891200 is an abundant number, since it is smaller than the sum of its proper divisors (8260217256768).

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

2468926891200 is a wasteful number, since it uses less digits than its factorization.

2468926891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 2468926891200 in words is "two trillion, four hundred sixty-eight billion, nine hundred twenty-six million, eight hundred ninety-one thousand, two hundred".