2029916160 has 208 divisors, whose sum is σ = 7218564480. Its totient is φ = 541163520.

The previous prime is 2029916159. The next prime is 2029916173. The reversal of 2029916160 is 616199202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551125 + ... + 554795.

Almost surely, 2^2029916160 is an apocalyptic number.

2029916160 is a gapful number since it is divisible by the number (20) 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 2029916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609282240).

2029916160 is an abundant number, since it is smaller than the sum of its proper divisors (5188648320).

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

2029916160 is an equidigital number, since it uses as much as digits as its factorization.

2029916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2029916160 is about 45054.5908870561. The cubic root of 2029916160 is about 1266.1719853498.

The spelling of 2029916160 in words is "two billion, twenty-nine million, nine hundred sixteen thousand, one hundred sixty".