2789991321600 has 936 divisors, whose sum is σ = 10881753984480. Its totient is φ = 628728791040.

The previous prime is 2789991321587. The next prime is 2789991321619. The reversal of 2789991321600 is 61231999872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1098853131 + ... + 1098855669.

Almost surely, 2^{2789991321600} is an apocalyptic number.

2789991321600 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 2789991321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440876992240).

2789991321600 is an abundant number, since it is smaller than the sum of its proper divisors (8091762662880).

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

2789991321600 is a wasteful number, since it uses less digits than its factorization.

2789991321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 2789991321600 in words is "two trillion, seven hundred eighty-nine billion, nine hundred ninety-one million, three hundred twenty-one thousand, six hundred".