2798313469200 has 120 divisors (see below), whose sum is σ = 9959923164000. Its totient is φ = 746216922240.

The previous prime is 2798313469181. The next prime is 2798313469201. The reversal of 2798313469200 is 29643138972.

2798313469200 is a `hidden beast` number, since 2 + 7 + 98 + 3 + 1 + 346 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2798313469200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2798313469201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129540750 + ... + 129562349.

It is an arithmetic number, because the mean of its divisors is an integer number (82999359700).

Almost surely, 2^{2798313469200} is an apocalyptic number.

2798313469200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2798313469200 is an abundant number, since it is smaller than the sum of its proper divisors (7161609694800).

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

2798313469200 is a wasteful number, since it uses less digits than its factorization.

2798313469200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259103126 (or 259103109 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2798313469200 in words is "two trillion, seven hundred ninety-eight billion, three hundred thirteen million, four hundred sixty-nine thousand, two hundred".