2029120063488 has 768 divisors, whose sum is σ = 7200700416000. Its totient is φ = 552023949312.

The previous prime is 2029120063463. The next prime is 2029120063507. The reversal of 2029120063488 is 8843600219202.

2029120063488 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 1 + 2 + 0 + 0 + 634 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2029120063488² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2822141593 + ... + 2822142311.

It is an arithmetic number, because the mean of its divisors is an integer number (9375912000).

Almost surely, 2^{2029120063488} is an apocalyptic number.

2029120063488 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 2029120063488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600350208000).

2029120063488 is an abundant number, since it is smaller than the sum of its proper divisors (5171580352512).

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

2029120063488 is a wasteful number, since it uses less digits than its factorization.

2029120063488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2029120063488 in words is "two trillion, twenty-nine billion, one hundred twenty million, sixty-three thousand, four hundred eighty-eight".