2794849968600 has 1152 divisors, whose sum is σ = 10329050952000. Its totient is φ = 702919296000.

The previous prime is 2794849968577. The next prime is 2794849968601. The reversal of 2794849968600 is 68699484972.

2794849968600 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 8 + 4 + 9 + 9 + 6 + 8 + 600 = 666.

It is a super-2 number, since 2×2794849968600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2794849968601) 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 287 ways as a sum of consecutive naturals, for example, 25640825346 + ... + 25640825454.

Almost surely, 2^{2794849968600} is an apocalyptic number.

2794849968600 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 2794849968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164525476000).

2794849968600 is an abundant number, since it is smaller than the sum of its proper divisors (7534200983400).

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

2794849968600 is a wasteful number, since it uses less digits than its factorization.

2794849968600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 2794849968600 in words is "two trillion, seven hundred ninety-four billion, eight hundred forty-nine million, nine hundred sixty-eight thousand, six hundred".