2726776416 has 192 divisors, whose sum is σ = 8841788928. Its totient is φ = 716525568.

The previous prime is 2726776411. The next prime is 2726776427. The reversal of 2726776416 is 6146776272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726776411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3992011 + ... + 3992693.

It is an arithmetic number, because the mean of its divisors is an integer number (46050984).

Almost surely, 2^2726776416 is an apocalyptic number.

2726776416 is a gapful number since it is divisible by the number (26) 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 2726776416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420894464).

2726776416 is an abundant number, since it is smaller than the sum of its proper divisors (6115012512).

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

2726776416 is a wasteful number, since it uses less digits than its factorization.

2726776416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 2726776416 is about 52218.5447518408. The cubic root of 2726776416 is about 1397.0646689429.

The spelling of 2726776416 in words is "two billion, seven hundred twenty-six million, seven hundred seventy-six thousand, four hundred sixteen".