2732078160000 has 1920 divisors, whose sum is σ = 12338789823360. Its totient is φ = 587243520000.

The previous prime is 2732078159981. The next prime is 2732078160001. The reversal of 2732078160000 is 618702372.

2732078160000 is a `hidden beast` number, since 27 + 3 + 20 + 7 + 8 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2732078160001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2313359410 + ... + 2313360590.

It is an arithmetic number, because the mean of its divisors is an integer number (6426453033).

Almost surely, 2^{2732078160000} is an apocalyptic number.

2732078160000 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 2732078160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169394911680).

2732078160000 is an abundant number, since it is smaller than the sum of its proper divisors (9606711663360).

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

2732078160000 is an equidigital number, since it uses as much as digits as its factorization.

2732078160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 2732078160000 in words is "two trillion, seven hundred thirty-two billion, seventy-eight million, one hundred sixty thousand".