2731998720 has 320 divisors, whose sum is σ = 9680166144. Its totient is φ = 651755520.

The previous prime is 2731998691. The next prime is 2731998739. The reversal of 2731998720 is 278991372.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2731998720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6166819 + ... + 6167261.

Almost surely, 2^2731998720 is an apocalyptic number.

2731998720 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 2731998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840083072).

2731998720 is an abundant number, since it is smaller than the sum of its proper divisors (6948167424).

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

2731998720 is a wasteful number, since it uses less digits than its factorization.

2731998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 2731998720 is about 52268.5251370268. The cubic root of 2731998720 is about 1397.9559831496.

The spelling of 2731998720 in words is "two billion, seven hundred thirty-one million, nine hundred ninety-eight thousand, seven hundred twenty".