2726052984720 has 1600 divisors, whose sum is σ = 11095393182720. Its totient is φ = 617117792256.

The previous prime is 2726052984709. The next prime is 2726052984737. The reversal of 2726052984720 is 274892506272.

2726052984720 is a `hidden beast` number, since 2 + 7 + 2 + 605 + 2 + 9 + 8 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16724251359 + ... + 16724251521.

Almost surely, 2^{2726052984720} is an apocalyptic number.

2726052984720 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 2726052984720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547696591360).

2726052984720 is an abundant number, since it is smaller than the sum of its proper divisors (8369340198000).

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

2726052984720 is a wasteful number, since it uses less digits than its factorization.

2726052984720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2726052984720 in words is "two trillion, seven hundred twenty-six billion, fifty-two million, nine hundred eighty-four thousand, seven hundred twenty".