2889972000 has 192 divisors, whose sum is σ = 10519891200. Its totient is φ = 770630400.

The previous prime is 2889971999. The next prime is 2889972013. The reversal of 2889972000 is 2799882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94621 + ... + 121379.

It is an arithmetic number, because the mean of its divisors is an integer number (54791100).

Almost surely, 2^2889972000 is an apocalyptic number.

2889972000 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 2889972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259945600).

2889972000 is an abundant number, since it is smaller than the sum of its proper divisors (7629919200).

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

2889972000 is a wasteful number, since it uses less digits than its factorization.

2889972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26793 (or 26769 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2889972000 is about 53758.4597993655. The cubic root of 2889972000 is about 1424.3975292529.

The spelling of 2889972000 in words is "two billion, eight hundred eighty-nine million, nine hundred seventy-two thousand".