2733147828180 has 720 divisors, whose sum is σ = 10792001848320. Its totient is φ = 566800312320.

The previous prime is 2733147828127. The next prime is 2733147828227. The reversal of 2733147828180 is 818287413372.

2733147828180 is a `hidden beast` number, since 2 + 73 + 3 + 1 + 478 + 28 + 1 + 80 = 666.

It is a super-2 number, since 2×2733147828180² (a number of 26 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 813677341 + ... + 813680699.

It is an arithmetic number, because the mean of its divisors is an integer number (14988891456).

Almost surely, 2^{2733147828180} is an apocalyptic number.

2733147828180 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 2733147828180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396000924160).

2733147828180 is an abundant number, since it is smaller than the sum of its proper divisors (8058854020140).

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

2733147828180 is a wasteful number, since it uses less digits than its factorization.

2733147828180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2733147828180 in words is "two trillion, seven hundred thirty-three billion, one hundred forty-seven million, eight hundred twenty-eight thousand, one hundred eighty".