2838832246080 has 2240 divisors, whose sum is σ = 11499232808448. Its totient is φ = 662171811840.

The previous prime is 2838832246073. The next prime is 2838832246111. The reversal of 2838832246080 is 806422388382.

It is a happy number.

2838832246080 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 8 + 3 + 2 + 24 + 608 + 0 = 666.

2838832246080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38888112924 + ... + 38888112996.

Almost surely, 2^{2838832246080} is an apocalyptic number.

2838832246080 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 2838832246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749616404224).

2838832246080 is an abundant number, since it is smaller than the sum of its proper divisors (8660400562368).

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

2838832246080 is a wasteful number, since it uses less digits than its factorization.

2838832246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 2838832246080 in words is "two trillion, eight hundred thirty-eight billion, eight hundred thirty-two million, two hundred forty-six thousand, eighty".