2731734720 has 840 divisors, whose sum is σ = 11674248432. Its totient is φ = 602173440.

The previous prime is 2731734697. The next prime is 2731734737. The reversal of 2731734720 is 274371372.

It is a happy number.

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

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, 40772127 + ... + 40772193.

Almost surely, 2^2731734720 is an apocalyptic number.

2731734720 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 2731734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837124216).

2731734720 is an abundant number, since it is smaller than the sum of its proper divisors (8942513712).

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

2731734720 is a wasteful number, since it uses less digits than its factorization.

2731734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 2731734720 is about 52265.9996556079. Note that the first 3 decimals coincide. The cubic root of 2731734720 is about 1397.9109523491.

Adding to 2731734720 its sum of digits (36), we get a square (2731734756 = 52266²).

The spelling of 2731734720 in words is "two billion, seven hundred thirty-one million, seven hundred thirty-four thousand, seven hundred twenty".