2468135779200 has 2304 divisors, whose sum is σ = 11853681315840. Its totient is φ = 474041548800.

The previous prime is 2468135779163. The next prime is 2468135779229. The reversal of 2468135779200 is 29775318642.

It is a happy number.

2468135779200 is a `hidden beast` number, since 2 + 4 + 6 + 81 + 357 + 7 + 9 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1381160707 + ... + 1381162493.

It is an arithmetic number, because the mean of its divisors is an integer number (5144826960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2468135779200 = 4936271558400, but 3⋅2468135779200 = 7404407337600 is not.

Almost surely, 2^{2468135779200} is an apocalyptic number.

2468135779200 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 2468135779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926840657920).

2468135779200 is an abundant number, since it is smaller than the sum of its proper divisors (9385545536640).

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

2468135779200 is a wasteful number, since it uses less digits than its factorization.

2468135779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2468135779200 in words is "two trillion, four hundred sixty-eight billion, one hundred thirty-five million, seven hundred seventy-nine thousand, two hundred".