2029055952 has 160 divisors (see below), whose sum is σ = 6819563520. Its totient is φ = 504092160.

The previous prime is 2029055887. The next prime is 2029055957. The reversal of 2029055952 is 2595509202.

It is a super-3 number, since 3×2029055952³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2029055952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029055957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73074 + ... + 96942.

It is an arithmetic number, because the mean of its divisors is an integer number (42622272).

Almost surely, 2^2029055952 is an apocalyptic number.

2029055952 is a gapful number since it is divisible by the number (22) 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 2029055952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409781760).

2029055952 is an abundant number, since it is smaller than the sum of its proper divisors (4790507568).

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

2029055952 is a wasteful number, since it uses less digits than its factorization.

2029055952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23921 (or 23915 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 2029055952 is about 45045.0435897225. The cubic root of 2029055952 is about 1265.9931068359.

The spelling of 2029055952 in words is "two billion, twenty-nine million, fifty-five thousand, nine hundred fifty-two".