2776320000 has 360 divisors, whose sum is σ = 10061521470. Its totient is φ = 737280000.

The previous prime is 2776319969. The next prime is 2776320007. The reversal of 2776320000 is 236772.

2776320000 is a `hidden beast` number, since 27 + 7 + 632 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 158155776 + 2618164224 = 12576^2 + 51168^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×2776320000³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2776320007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519880 + ... + 11520120.

Almost surely, 2^2776320000 is an apocalyptic number.

2776320000 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 2776320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030760735).

2776320000 is an abundant number, since it is smaller than the sum of its proper divisors (7285201470).

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

2776320000 is an equidigital number, since it uses as much as digits as its factorization.

2776320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2776320000 is about 52690.7961602404. The cubic root of 2776320000 is about 1405.4751583270.

Adding to 2776320000 its reverse (236772), we get a palindrome (2776556772).

The spelling of 2776320000 in words is "two billion, seven hundred seventy-six million, three hundred twenty thousand".