2900688000 has 512 divisors, whose sum is σ = 11227507200. Its totient is φ = 648806400.

The previous prime is 2900687989. The next prime is 2900688013. The reversal of 2900688000 is 8860092.

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, 29903952 + ... + 29904048.

It is an arithmetic number, because the mean of its divisors is an integer number (21928725).

Almost surely, 2^2900688000 is an apocalyptic number.

2900688000 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 2900688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

2900688000 is an abundant number, since it is smaller than the sum of its proper divisors (8326819200).

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

2900688000 is an equidigital number, since it uses as much as digits as its factorization.

2900688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2900688000 is about 53858.0356121535. The cubic root of 2900688000 is about 1426.1559103732.

It can be divided in two parts, 2900 and 688000, that added together give a triangular number (690900 = T₁₁₇₅).

The spelling of 2900688000 in words is "two billion, nine hundred million, six hundred eighty-eight thousand".