2776284336 has 240 divisors, whose sum is σ = 8655529344. Its totient is φ = 764080128.

The previous prime is 2776284323. The next prime is 2776284337. The reversal of 2776284336 is 6334826772.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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.

Its product of digits (2032128) is a multiple of the sum of its prime factors (448).

It is not an unprimeable number, because it can be changed into a prime (2776284337) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9810051 + ... + 9810333.

Almost surely, 2^2776284336 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 2776284336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327764672).

2776284336 is an abundant number, since it is smaller than the sum of its proper divisors (5879245008).

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

2776284336 is a wasteful number, since it uses less digits than its factorization.

2776284336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The square root of 2776284336 is about 52690.4577319271. The cubic root of 2776284336 is about 1405.4691401590.

The spelling of 2776284336 in words is "two billion, seven hundred seventy-six million, two hundred eighty-four thousand, three hundred thirty-six".