2783435136804 has 288 divisors, whose sum is σ = 8406024480000. Its totient is φ = 780229283328.

The previous prime is 2783435136773. The next prime is 2783435136809. The reversal of 2783435136804 is 4086315343872.

It is a happy number.

2783435136804 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 43 + 513 + 6 + 80 + 4 = 666.

It is a super-2 number, since 2×2783435136804² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2783435136809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 912899472 + ... + 912902520.

It is an arithmetic number, because the mean of its divisors is an integer number (29187585000).

Almost surely, 2^{2783435136804} 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 2783435136804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203012240000).

2783435136804 is an abundant number, since it is smaller than the sum of its proper divisors (5622589343196).

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

2783435136804 is a wasteful number, since it uses less digits than its factorization.

2783435136804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2783435136804 in words is "two trillion, seven hundred eighty-three billion, four hundred thirty-five million, one hundred thirty-six thousand, eight hundred four".