2783001263328 has 336 divisors, whose sum is σ = 9650956832496. Its totient is φ = 778460958720.

The previous prime is 2783001263327. The next prime is 2783001263369. The reversal of 2783001263328 is 8233621003872.

2783001263328 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 0 + 0 + 1 + 2 + 633 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783001263327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2918776 + ... + 3753032.

It is an arithmetic number, because the mean of its divisors is an integer number (28723085811).

Almost surely, 2^{2783001263328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2783001263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825478416248).

2783001263328 is an abundant number, since it is smaller than the sum of its proper divisors (6867955569168).

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

2783001263328 is a wasteful number, since it uses less digits than its factorization.

2783001263328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834309 (or 834286 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2783001263328 in words is "two trillion, seven hundred eighty-three billion, one million, two hundred sixty-three thousand, three hundred twenty-eight".