2029456638 has 96 divisors (see below), whose sum is σ = 4929724800. Its totient is φ = 598086720.

The previous prime is 2029456621. The next prime is 2029456661. The reversal of 2029456638 is 8366549202.

2029456638 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 4 + 5 + 6 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2029456593 and 2029456602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2971045 + ... + 2971727.

It is an arithmetic number, because the mean of its divisors is an integer number (51351300).

Almost surely, 2^2029456638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029456638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464862400).

2029456638 is an abundant number, since it is smaller than the sum of its proper divisors (2900268162).

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

2029456638 is a wasteful number, since it uses less digits than its factorization.

2029456638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2029456638 is about 45049.4909849157. The cubic root of 2029456638 is about 1266.0764349680.

The spelling of 2029456638 in words is "two billion, twenty-nine million, four hundred fifty-six thousand, six hundred thirty-eight".