2742922000 has 240 divisors, whose sum is σ = 8312561712. Its totient is φ = 867686400.

The previous prime is 2742921953. The next prime is 2742922003. The reversal of 2742922000 is 2292472.

2742922000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2077901056 + 665020944 = 45584^2 + 25788^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2742922000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742922003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272924 + ... + 1275076.

Almost surely, 2^2742922000 is an apocalyptic number.

2742922000 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 2742922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156280856).

2742922000 is an abundant number, since it is smaller than the sum of its proper divisors (5569639712).

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

2742922000 is a wasteful number, since it uses less digits than its factorization.

2742922000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2742922000 is about 52372.9128462414. The cubic root of 2742922000 is about 1399.8166426535.

The spelling of 2742922000 in words is "two billion, seven hundred forty-two million, nine hundred twenty-two thousand".