2771820000 has 600 divisors, whose sum is σ = 10716413400. Its totient is φ = 701568000.

The previous prime is 2771819993. The next prime is 2771820017. The reversal of 2771820000 is 281772.

2771820000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×2771820000² = 15365972224800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 46979971 + ... + 46980029.

It is an arithmetic number, because the mean of its divisors is an integer number (17860689).

Almost surely, 2^2771820000 is an apocalyptic number.

2771820000 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 2771820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358206700).

2771820000 is an abundant number, since it is smaller than the sum of its proper divisors (7944593400).

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

2771820000 is an equidigital number, since it uses as much as digits as its factorization.

2771820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2771820000 is about 52648.0768879548. The cubic root of 2771820000 is about 1404.7153925950.

The spelling of 2771820000 in words is "two billion, seven hundred seventy-one million, eight hundred twenty thousand".