2730672000 has 960 divisors, whose sum is σ = 12071957040. Its totient is φ = 609638400.

The previous prime is 2730671959. The next prime is 2730672011. The reversal of 2730672000 is 2760372.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 63503979 + ... + 63504021.

Almost surely, 2^2730672000 is an apocalyptic number.

2730672000 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 2730672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035978520).

2730672000 is an abundant number, since it is smaller than the sum of its proper divisors (9341285040).

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

2730672000 is an equidigital number, since it uses as much as digits as its factorization.

2730672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2730672000 is about 52255.8322103859. The cubic root of 2730672000 is about 1397.7296535571.

The spelling of 2730672000 in words is "two billion, seven hundred thirty million, six hundred seventy-two thousand".