2734174872000 has 3584 divisors, whose sum is σ = 12883366379520. Its totient is φ = 557383680000.

The previous prime is 2734174871917. The next prime is 2734174872029. The reversal of 2734174872000 is 2784714372.

2734174872000 is a `hidden beast` number, since 27 + 3 + 417 + 4 + 8 + 7 + 200 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 21528935937 + ... + 21528936063.

It is an arithmetic number, because the mean of its divisors is an integer number (3594689280).

Almost surely, 2^{2734174872000} is an apocalyptic number.

2734174872000 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 2734174872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441683189760).

2734174872000 is an abundant number, since it is smaller than the sum of its proper divisors (10149191507520).

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

2734174872000 is a wasteful number, since it uses less digits than its factorization.

2734174872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 2734174872000 in words is "two trillion, seven hundred thirty-four billion, one hundred seventy-four million, eight hundred seventy-two thousand".