2778942567168 has 360 divisors, whose sum is σ = 8422450639680. Its totient is φ = 911182970880.

The previous prime is 2778942567131. The next prime is 2778942567241. The reversal of 2778942567168 is 8617652498772.

It is a happy number.

2778942567168 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 9 + 42 + 567 + 16 + 8 = 666.

It is a super-3 number, since 3×2778942567168³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2778942567096 and 2778942567105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 460315446 + ... + 460321482.

Almost surely, 2^{2778942567168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778942567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211225319840).

2778942567168 is an abundant number, since it is smaller than the sum of its proper divisors (5643508072512).

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

2778942567168 is an equidigital number, since it uses as much as digits as its factorization.

2778942567168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6402 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 2778942567168 in words is "two trillion, seven hundred seventy-eight billion, nine hundred forty-two million, five hundred sixty-seven thousand, one hundred sixty-eight".