2772473000 has 128 divisors (see below), whose sum is σ = 7139283840. Its totient is φ = 1007688000.

The previous prime is 2772472903. The next prime is 2772473021. The reversal of 2772473000 is 3742772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329959 + ... + 1332041.

It is an arithmetic number, because the mean of its divisors is an integer number (55775655).

Almost surely, 2^2772473000 is an apocalyptic number.

2772473000 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 2772473000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569641920).

2772473000 is an abundant number, since it is smaller than the sum of its proper divisors (4366810840).

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

2772473000 is a wasteful number, since it uses less digits than its factorization.

2772473000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 32.

The square root of 2772473000 is about 52654.2780788038. The cubic root of 2772473000 is about 1404.8256940249.

The spelling of 2772473000 in words is "two billion, seven hundred seventy-two million, four hundred seventy-three thousand".