2771364000 has 192 divisors, whose sum is σ = 9143027712. Its totient is φ = 733824000.

The previous prime is 2771363999. The next prime is 2771364067. The reversal of 2771364000 is 4631772.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883265 + ... + 1884735.

It is an arithmetic number, because the mean of its divisors is an integer number (47619936).

Almost surely, 2^2771364000 is an apocalyptic number.

2771364000 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 2771364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571513856).

2771364000 is an abundant number, since it is smaller than the sum of its proper divisors (6371663712).

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

2771364000 is a wasteful number, since it uses less digits than its factorization.

2771364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2771364000 is about 52643.7460673155. The cubic root of 2771364000 is about 1404.6383571275.

Adding to 2771364000 its reverse (4631772), we get a palindrome (2775995772).

The spelling of 2771364000 in words is "two billion, seven hundred seventy-one million, three hundred sixty-four thousand".