2734275916800 has 660 divisors, whose sum is σ = 10565090966496. Its totient is φ = 697426329600.

The previous prime is 2734275916711. The next prime is 2734275916829. The reversal of 2734275916800 is 86195724372.

It is a happy number.

2734275916800 is a `hidden beast` number, since 2 + 7 + 3 + 42 + 7 + 591 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47664135 + ... + 47721465.

It is a 1-persistent number, because it is pandigital, but 2⋅2734275916800 = 5468551833600 is not.

Almost surely, 2^{2734275916800} is an apocalyptic number.

2734275916800 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 2734275916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282545483248).

2734275916800 is an abundant number, since it is smaller than the sum of its proper divisors (7830815049696).

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

2734275916800 is a wasteful number, since it uses less digits than its factorization.

2734275916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57396 (or 57364 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2734275916800 in words is "two trillion, seven hundred thirty-four billion, two hundred seventy-five million, nine hundred sixteen thousand, eight hundred".