2429138168064 has 216 divisors, whose sum is σ = 7242386092032. Its totient is φ = 782221639680.

The previous prime is 2429138168053. The next prime is 2429138168071. The reversal of 2429138168064 is 4608618319242.

2429138168064 is a `hidden beast` number, since 2 + 42 + 91 + 381 + 6 + 80 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2429138168064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41182177 + ... + 41241119.

Almost surely, 2^{2429138168064} is an apocalyptic number.

2429138168064 is a gapful number since it is divisible by the number (24) 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 2429138168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621193046016).

2429138168064 is an abundant number, since it is smaller than the sum of its proper divisors (4813247923968).

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

2429138168064 is a wasteful number, since it uses less digits than its factorization.

2429138168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59573 (or 59556 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2429138168064 in words is "two trillion, four hundred twenty-nine billion, one hundred thirty-eight million, one hundred sixty-eight thousand, sixty-four".