2729727006048 has 240 divisors, whose sum is σ = 9179077257504. Its totient is φ = 779568261120.

The previous prime is 2729727006043. The next prime is 2729727006109. The reversal of 2729727006048 is 8406007279272.

It is a happy number.

2729727006048 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 7 + 27 + 0 + 0 + 604 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2729727005985 and 2729727006003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729727006043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41353486 + ... + 41419442.

Almost surely, 2^{2729727006048} is an apocalyptic number.

2729727006048 is a gapful number since it is divisible by the number (28) 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 2729727006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589538628752).

2729727006048 is an abundant number, since it is smaller than the sum of its proper divisors (6449350251456).

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

2729727006048 is a wasteful number, since it uses less digits than its factorization.

2729727006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68267 (or 68250 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

It can be divided in two parts, 272972 and 7006048, that added together give a triangular number (7279020 = T₃₈₁₅).

The spelling of 2729727006048 in words is "two trillion, seven hundred twenty-nine billion, seven hundred twenty-seven million, six thousand, forty-eight".