2029074727680 has 4320 divisors, whose sum is σ = 10503303632640. Its totient is φ = 368709304320.

The previous prime is 2029074727651. The next prime is 2029074727681. The reversal of 2029074727680 is 867274709202.

It is a happy number.

2029074727680 is a `hidden beast` number, since 2 + 0 + 2 + 90 + 7 + 472 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is not an unprimeable number, because it can be changed into a prime (2029074727681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 106793406711 + ... + 106793406729.

Almost surely, 2^{2029074727680} is an apocalyptic number.

2029074727680 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 2029074727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251651816320).

2029074727680 is an abundant number, since it is smaller than the sum of its proper divisors (8474228904960).

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

2029074727680 is an equidigital number, since it uses as much as digits as its factorization.

2029074727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

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

The spelling of 2029074727680 in words is "two trillion, twenty-nine billion, seventy-four million, seven hundred twenty-seven thousand, six hundred eighty".