2029816152 has 256 divisors, whose sum is σ = 7129651200. Its totient is φ = 520680960.

The previous prime is 2029816057. The next prime is 2029816181. The reversal of 2029816152 is 2516189202.

2029816152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2029816152² = 8240307221840174208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 725877 + ... + 728667.

It is an arithmetic number, because the mean of its divisors is an integer number (27850200).

Almost surely, 2^2029816152 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 2029816152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564825600).

2029816152 is an abundant number, since it is smaller than the sum of its proper divisors (5099835048).

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

2029816152 is a wasteful number, since it uses less digits than its factorization.

2029816152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2029816152 is about 45053.4810197836. The cubic root of 2029816152 is about 1266.1511914849.

The spelling of 2029816152 in words is "two billion, twenty-nine million, eight hundred sixteen thousand, one hundred fifty-two".