2720937240 has 192 divisors, whose sum is σ = 10201800960. Its totient is φ = 616055040.

The previous prime is 2720937229. The next prime is 2720937257. The reversal of 2720937240 is 427390272.

It is a super-3 number, since 3×2720937240³ (a number of 29 digits) contains 333 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 2720937195 and 2720937204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264595 + ... + 274685.

It is an arithmetic number, because the mean of its divisors is an integer number (53134380).

Almost surely, 2^2720937240 is an apocalyptic number.

2720937240 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 2720937240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100900480).

2720937240 is an abundant number, since it is smaller than the sum of its proper divisors (7480863720).

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

2720937240 is a wasteful number, since it uses less digits than its factorization.

2720937240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2720937240 is about 52162.6038460505. The cubic root of 2720937240 is about 1396.0667217695.

The spelling of 2720937240 in words is "two billion, seven hundred twenty million, nine hundred thirty-seven thousand, two hundred forty".