2736390720 has 336 divisors, whose sum is σ = 10555102080. Its totient is φ = 588251136.

The previous prime is 2736390673. The next prime is 2736390763. The reversal of 2736390720 is 270936372.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941376 + ... + 1942784.

Almost surely, 2^2736390720 is an apocalyptic number.

2736390720 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 2736390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277551040).

2736390720 is an abundant number, since it is smaller than the sum of its proper divisors (7818711360).

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

2736390720 is a wasteful number, since it uses less digits than its factorization.

2736390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 2736390720 is about 52310.5220773030. The cubic root of 2736390720 is about 1398.7047067139.

The spelling of 2736390720 in words is "two billion, seven hundred thirty-six million, three hundred ninety thousand, seven hundred twenty".