2900160000 has 600 divisors, whose sum is σ = 11217440520. Its totient is φ = 718848000.

The previous prime is 2900159959. The next prime is 2900160007. The reversal of 2900160000 is 610092.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900160007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54719974 + ... + 54720026.

Almost surely, 2^2900160000 is an apocalyptic number.

2900160000 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 2900160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608720260).

2900160000 is an abundant number, since it is smaller than the sum of its proper divisors (8317280520).

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

2900160000 is an equidigital number, since it uses as much as digits as its factorization.

2900160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2900160000 is about 53853.1336135605. The cubic root of 2900160000 is about 1426.0693727410.

Adding to 2900160000 its reverse (610092), we get a palindrome (2900770092).

The spelling of 2900160000 in words is "two billion, nine hundred million, one hundred sixty thousand".