2734663680000 has 1800 divisors, whose sum is σ = 11774329158592. Its totient is φ = 621084672000.

The previous prime is 2734663679947. The next prime is 2734663680017. The reversal of 2734663680000 is 863664372.

2734663680000 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 6 + 636 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×2734663680000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17418239922 + ... + 17418240078.

Almost surely, 2^{2734663680000} is an apocalyptic number.

2734663680000 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 2734663680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887164579296).

2734663680000 is an abundant number, since it is smaller than the sum of its proper divisors (9039665478592).

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

2734663680000 is an frugal number, since it uses more digits than its factorization.

2734663680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2734663680000 in words is "two trillion, seven hundred thirty-four billion, six hundred sixty-three million, six hundred eighty thousand".