2790338000 has 80 divisors (see below), whose sum is σ = 6762759120. Its totient is φ = 1113536000.

The previous prime is 2790337999. The next prime is 2790338003. The reversal of 2790338000 is 8330972.

It can be written as a sum of positive squares in 8 ways, for example, as 741146176 + 2049191824 = 27224^2 + 45268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2790338003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016630 + ... + 1019370.

It is an arithmetic number, because the mean of its divisors is an integer number (84534489).

Almost surely, 2^2790338000 is an apocalyptic number.

2790338000 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 2790338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381379560).

2790338000 is an abundant number, since it is smaller than the sum of its proper divisors (3972421120).

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

2790338000 is a wasteful number, since it uses less digits than its factorization.

2790338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 2790338000 is about 52823.6500064128. The cubic root of 2790338000 is about 1407.8366637534.

Adding to 2790338000 its reverse (8330972), we get a palindrome (2798668972).

The spelling of 2790338000 in words is "two billion, seven hundred ninety million, three hundred thirty-eight thousand".