2029241920752 has 300 divisors, whose sum is σ = 6054047382240. Its totient is φ = 655912083456.

The previous prime is 2029241920687. The next prime is 2029241920829. The reversal of 2029241920752 is 2570291429202.

2029241920752 is a `hidden beast` number, since 2 + 0 + 29 + 2 + 419 + 207 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2029241920698 and 2029241920707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 777784024 + ... + 777786632.

Almost surely, 2^{2029241920752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029241920752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027023691120).

2029241920752 is an abundant number, since it is smaller than the sum of its proper divisors (4024805461488).

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

2029241920752 is a wasteful number, since it uses less digits than its factorization.

2029241920752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2029241920752 in words is "two trillion, twenty-nine billion, two hundred forty-one million, nine hundred twenty thousand, seven hundred fifty-two".