2798233288704 has 768 divisors, whose sum is σ = 9749527656960. Its totient is φ = 785433231360.

The previous prime is 2798233288673. The next prime is 2798233288709. The reversal of 2798233288704 is 4078823328972.

2798233288704 is a `hidden beast` number, since 279 + 82 + 3 + 3 + 288 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2798233288704² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798233288709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3400040037 + ... + 3400040859.

It is an arithmetic number, because the mean of its divisors is an integer number (12694697470).

Almost surely, 2^{2798233288704} is an apocalyptic number.

2798233288704 is a gapful number since it is divisible by the number (24) 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 2798233288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874763828480).

2798233288704 is an abundant number, since it is smaller than the sum of its proper divisors (6951294368256).

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

2798233288704 is an frugal number, since it uses more digits than its factorization.

2798233288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 2798233288704 in words is "two trillion, seven hundred ninety-eight billion, two hundred thirty-three million, two hundred eighty-eight thousand, seven hundred four".