2029634475648 has 512 divisors, whose sum is σ = 6118950297600. Its totient is φ = 591755673600.

The previous prime is 2029634475571. The next prime is 2029634475653. The reversal of 2029634475648 is 8465744369202.

It is a happy number.

It is a super-2 number, since 2×2029634475648² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2029634475591 and 2029634475600.

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, 1856938590 + ... + 1856939682.

It is an arithmetic number, because the mean of its divisors is an integer number (11951074800).

Almost surely, 2^{2029634475648} 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 2029634475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059475148800).

2029634475648 is an abundant number, since it is smaller than the sum of its proper divisors (4089315821952).

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

2029634475648 is a wasteful number, since it uses less digits than its factorization.

2029634475648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 2029634475648 in words is "two trillion, twenty-nine billion, six hundred thirty-four million, four hundred seventy-five thousand, six hundred forty-eight".