2790622089216 has 312 divisors, whose sum is σ = 8980260842280. Its totient is φ = 829040099328.

The previous prime is 2790622089193. The next prime is 2790622089239. The reversal of 2790622089216 is 6129802260972.

2790622089216 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 622 + 0 + 8 + 9 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2790622089193) and next prime (2790622089239).

It can be written as a sum of positive squares in 4 ways, for example, as 223449071616 + 2567173017600 = 472704^2 + 1602240^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13797330 + ... + 13998126.

It is an arithmetic number, because the mean of its divisors is an integer number (28782887315).

Almost surely, 2^{2790622089216} is an apocalyptic number.

2790622089216 is a gapful number since it is divisible by the number (26) 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 2790622089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490130421140).

2790622089216 is an abundant number, since it is smaller than the sum of its proper divisors (6189638753064).

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

2790622089216 is a wasteful number, since it uses less digits than its factorization.

2790622089216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200869 (or 200844 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2790622089216 in words is "two trillion, seven hundred ninety billion, six hundred twenty-two million, eighty-nine thousand, two hundred sixteen".