2790432000000 has 504 divisors, whose sum is σ = 10075010686650. Its totient is φ = 744038400000.

The previous prime is 2790431999989. The next prime is 2790432000007. The reversal of 2790432000000 is 2340972.

It can be written as a sum of positive squares in 7 ways, for example, as 1405875004416 + 1384556995584 = 1185696^2 + 1176672^2 .

It is not an unprimeable number, because it can be changed into a prime (2790432000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287995156 + ... + 288004844.

Almost surely, 2^{2790432000000} is an apocalyptic number.

2790432000000 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 2790432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037505343325).

2790432000000 is an abundant number, since it is smaller than the sum of its proper divisors (7284578686650).

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

2790432000000 is an frugal number, since it uses more digits than its factorization.

2790432000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 2790432000000 its reverse (2340972), we get a palindrome (2790434340972).

The spelling of 2790432000000 in words is "two trillion, seven hundred ninety billion, four hundred thirty-two million", and thus it is an aban number.