2726868015300 has 864 divisors, whose sum is σ = 9953968155264. Its totient is φ = 574072012800.

The previous prime is 2726868015281. The next prime is 2726868015301. The reversal of 2726868015300 is 35108686272.

It is a super-2 number, since 2×2726868015300² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2726868015300.

It is not an unprimeable number, because it can be changed into a prime (2726868015301) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1147187712 + ... + 1147190088.

It is an arithmetic number, because the mean of its divisors is an integer number (11520796476).

Almost surely, 2^{2726868015300} is an apocalyptic number.

2726868015300 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 2726868015300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976984077632).

2726868015300 is an abundant number, since it is smaller than the sum of its proper divisors (7227100139964).

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

2726868015300 is a wasteful number, since it uses less digits than its factorization.

2726868015300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 2726868015300 in words is "two trillion, seven hundred twenty-six billion, eight hundred sixty-eight million, fifteen thousand, three hundred".