2733696000000 has 1568 divisors, whose sum is σ = 11672738087040. Its totient is φ = 619315200000.

The previous prime is 2733695999963. The next prime is 2733696000001. The reversal of 2733696000000 is 6963372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2733696000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24191999944 + ... + 24192000056.

Almost surely, 2^{2733696000000} is an apocalyptic number.

2733696000000 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 2733696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836369043520).

2733696000000 is an abundant number, since it is smaller than the sum of its proper divisors (8939042087040).

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

2733696000000 is an frugal number, since it uses more digits than its factorization.

2733696000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 2733696000000 in words is "two trillion, seven hundred thirty-three billion, six hundred ninety-six million", and thus it is an aban number.