2721763730040 has 128 divisors (see below), whose sum is σ = 8534533248000. Its totient is φ = 693087549440.

The previous prime is 2721763730039. The next prime is 2721763730047. The reversal of 2721763730040 is 400373671272.

It is a happy number.

2721763730040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2721763730040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2721763729974 and 2721763730001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721763730047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830080 + ... + 2476400.

It is an arithmetic number, because the mean of its divisors is an integer number (66676041000).

Almost surely, 2^{2721763730040} is an apocalyptic number.

2721763730040 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 2721763730040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267266624000).

2721763730040 is an abundant number, since it is smaller than the sum of its proper divisors (5812769517960).

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

2721763730040 is a wasteful number, since it uses less digits than its factorization.

2721763730040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646957 (or 1646953 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 2721763730040 in words is "two trillion, seven hundred twenty-one billion, seven hundred sixty-three million, seven hundred thirty thousand, forty".