2890790238336 has 1536 divisors, whose sum is σ = 11119032207360. Its totient is φ = 645237964800.

The previous prime is 2890790238311. The next prime is 2890790238433. The reversal of 2890790238336 is 6338320970982.

It is a self number, because there is not a number n which added to its sum of digits gives 2890790238336.

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 191 ways as a sum of consecutive naturals, for example, 9416254695 + ... + 9416255001.

It is an arithmetic number, because the mean of its divisors is an integer number (7238953260).

Almost surely, 2^{2890790238336} is an apocalyptic number.

2890790238336 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 2890790238336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559516103680).

2890790238336 is an abundant number, since it is smaller than the sum of its proper divisors (8228241969024).

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

2890790238336 is a wasteful number, since it uses less digits than its factorization.

2890790238336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 2890790238336 in words is "two trillion, eight hundred ninety billion, seven hundred ninety million, two hundred thirty-eight thousand, three hundred thirty-six".