2838333726720 has 560 divisors, whose sum is σ = 10207956337920. Its totient is φ = 754463932416.

The previous prime is 2838333726719. The next prime is 2838333726731. The reversal of 2838333726720 is 276273338382.

It is a happy number.

2838333726720 is a `hidden beast` number, since 28 + 3 + 8 + 3 + 337 + 267 + 20 = 666.

It is a super-2 number, since 2×2838333726720² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1191074649 + ... + 1191077031.

Almost surely, 2^{2838333726720} is an apocalyptic number.

2838333726720 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 2838333726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103978168960).

2838333726720 is an abundant number, since it is smaller than the sum of its proper divisors (7369622611200).

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

2838333726720 is an equidigital number, since it uses as much as digits as its factorization.

2838333726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2838333726720 in words is "two trillion, eight hundred thirty-eight billion, three hundred thirty-three million, seven hundred twenty-six thousand, seven hundred twenty".