2796351994800 has 960 divisors, whose sum is σ = 12287579100160. Its totient is φ = 588179128320.

The previous prime is 2796351994781. The next prime is 2796351994819. The reversal of 2796351994800 is 84991536972.

2796351994800 is a `hidden beast` number, since 2 + 7 + 9 + 63 + 5 + 1 + 99 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2796351994781) and next prime (2796351994819).

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

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, 331199379 + ... + 331207821.

It is a 1-persistent number, because it is pandigital, but 2⋅2796351994800 = 5592703989600 is not.

Almost surely, 2^{2796351994800} is an apocalyptic number.

2796351994800 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 2796351994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143789550080).

2796351994800 is an abundant number, since it is smaller than the sum of its proper divisors (9491227105360).

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

2796351994800 is a wasteful number, since it uses less digits than its factorization.

2796351994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 2796351994800 in words is "two trillion, seven hundred ninety-six billion, three hundred fifty-one million, nine hundred ninety-four thousand, eight hundred".