2734268418000 has 480 divisors, whose sum is σ = 10997538469632. Its totient is φ = 620201088000.

The previous prime is 2734268417953. The next prime is 2734268418151. The reversal of 2734268418000 is 8148624372.

It is a happy number.

2734268418000 is a `hidden beast` number, since 2 + 73 + 426 + 84 + 1 + 80 + 0 + 0 = 666.

2734268418000 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16423174 + ... + 16588826.

Almost surely, 2^{2734268418000} is an apocalyptic number.

2734268418000 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 2734268418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498769234816).

2734268418000 is an abundant number, since it is smaller than the sum of its proper divisors (8263270051632).

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

2734268418000 is a wasteful number, since it uses less digits than its factorization.

2734268418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165820 (or 165801 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2734268418000 in words is "two trillion, seven hundred thirty-four billion, two hundred sixty-eight million, four hundred eighteen thousand".