2838287941632 has 680 divisors, whose sum is σ = 9964898217120. Its totient is φ = 793714360320.

The previous prime is 2838287941589. The next prime is 2838287941637. The reversal of 2838287941632 is 2361497828382.

2838287941632 is a `hidden beast` number, since 2 + 8 + 382 + 8 + 7 + 94 + 163 + 2 = 666.

It is a super-2 number, since 2×2838287941632² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2838287941632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838287941637) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 759101619 + ... + 759105357.

It is an arithmetic number, because the mean of its divisors is an integer number (14654262084).

Almost surely, 2^{2838287941632} is an apocalyptic number.

2838287941632 is a gapful number since it is divisible by the number (22) 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 2838287941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982449108560).

2838287941632 is an abundant number, since it is smaller than the sum of its proper divisors (7126610275488).

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

2838287941632 is an equidigital number, since it uses as much as digits as its factorization.

2838287941632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3768 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 2838287941632 in words is "two trillion, eight hundred thirty-eight billion, two hundred eighty-seven million, nine hundred forty-one thousand, six hundred thirty-two".