2726813040 has 160 divisors (see below), whose sum is σ = 9731043840. Its totient is φ = 618734592.

The previous prime is 2726813029. The next prime is 2726813069. The reversal of 2726813040 is 403186272.

2726813040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2726813040² = 14871018710228083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2726812992 and 2726813010.

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, 227682 + ... + 239358.

It is an arithmetic number, because the mean of its divisors is an integer number (60819024).

Almost surely, 2^2726813040 is an apocalyptic number.

2726813040 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 2726813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865521920).

2726813040 is an abundant number, since it is smaller than the sum of its proper divisors (7004230800).

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

2726813040 is a wasteful number, since it uses less digits than its factorization.

2726813040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2726813040 is about 52218.8954306772. The cubic root of 2726813040 is about 1397.0709236871.

The spelling of 2726813040 in words is "two billion, seven hundred twenty-six million, eight hundred thirteen thousand, forty".