2794401792000 has 3072 divisors, whose sum is σ = 13396821984000. Its totient is φ = 554906419200.

The previous prime is 2794401791981. The next prime is 2794401792037. The reversal of 2794401792000 is 2971044972.

It is a happy number.

2794401792000 is a `hidden beast` number, since 279 + 4 + 4 + 0 + 179 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×2794401792000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164376575992 + ... + 164376576008.

Almost surely, 2^{2794401792000} is an apocalyptic number.

2794401792000 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 2794401792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698410992000).

2794401792000 is an abundant number, since it is smaller than the sum of its proper divisors (10602420192000).

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

2794401792000 is an equidigital number, since it uses as much as digits as its factorization.

2794401792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2794401792000 in words is "two trillion, seven hundred ninety-four billion, four hundred one million, seven hundred ninety-two thousand".