2790216000 has 672 divisors, whose sum is σ = 11769278976. Its totient is φ = 622080000.

The previous prime is 2790215963. The next prime is 2790216017. The reversal of 2790216000 is 6120972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10295865 + ... + 10296135.

It is an arithmetic number, because the mean of its divisors is an integer number (17513808).

Almost surely, 2^2790216000 is an apocalyptic number.

2790216000 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 2790216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884639488).

2790216000 is an abundant number, since it is smaller than the sum of its proper divisors (8979062976).

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

2790216000 is a wasteful number, since it uses less digits than its factorization.

2790216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2790216000 is about 52822.4952080077. The cubic root of 2790216000 is about 1407.8161455012.

Adding to 2790216000 its reverse (6120972), we get a palindrome (2796336972).

The spelling of 2790216000 in words is "two billion, seven hundred ninety million, two hundred sixteen thousand".