2738164218700 has 72 divisors (see below), whose sum is σ = 6004853880032. Its totient is φ = 1083652577280.

The previous prime is 2738164218637. The next prime is 2738164218709. The reversal of 2738164218700 is 78124618372.

It is not an unprimeable number, because it can be changed into a prime (2738164218709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34074769 + ... + 34155031.

Almost surely, 2^{2738164218700} is an apocalyptic number.

2738164218700 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 2738164218700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002426940016).

2738164218700 is an abundant number, since it is smaller than the sum of its proper divisors (3266689661332).

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

2738164218700 is a wasteful number, since it uses less digits than its factorization.

2738164218700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83891 (or 83884 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 2738164218700 in words is "two trillion, seven hundred thirty-eight billion, one hundred sixty-four million, two hundred eighteen thousand, seven hundred".