2778726400 has 132 divisors (see below), whose sum is σ = 7021263222. Its totient is φ = 1090519040.

The previous prime is 2778726389. The next prime is 2778726403. The reversal of 2778726400 is 46278772.

It can be written as a sum of positive squares in 3 ways, for example, as 2316304384 + 462422016 = 48128^2 + 21504^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (2778726403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52428774 + ... + 52428826.

Almost surely, 2^2778726400 is an apocalyptic number.

2778726400 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 2778726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510631611).

2778726400 is an abundant number, since it is smaller than the sum of its proper divisors (4242536822).

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

2778726400 is an frugal number, since it uses more digits than its factorization.

2778726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

The square root of 2778726400 is about 52713.6263218534. The cubic root of 2778726400 is about 1405.8811104178.

The spelling of 2778726400 in words is "two billion, seven hundred seventy-eight million, seven hundred twenty-six thousand, four hundred".