2776331376 has 720 divisors, whose sum is σ = 10805558400. Its totient is φ = 681924096.

The previous prime is 2776331347. The next prime is 2776331399. The reversal of 2776331376 is 6731336772.

2776331376 is a `hidden beast` number, since 2 + 7 + 7 + 633 + 1 + 3 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47056435 + ... + 47056493.

It is an arithmetic number, because the mean of its divisors is an integer number (15007720).

Almost surely, 2^2776331376 is an apocalyptic number.

2776331376 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 2776331376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402779200).

2776331376 is an abundant number, since it is smaller than the sum of its proper divisors (8029227024).

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

2776331376 is a wasteful number, since it uses less digits than its factorization.

2776331376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its digits is 666792, while the sum is 45.

The square root of 2776331376 is about 52690.9041106717. The cubic root of 2776331376 is about 1405.4770779740.

The spelling of 2776331376 in words is "two billion, seven hundred seventy-six million, three hundred thirty-one thousand, three hundred seventy-six".