2898144000 has 432 divisors, whose sum is σ = 10819055520. Its totient is φ = 744038400.

The previous prime is 2898143887. The next prime is 2898144013. The reversal of 2898144000 is 4418982.

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 47 ways as a sum of consecutive naturals, for example, 8351827 + ... + 8352173.

It is an arithmetic number, because the mean of its divisors is an integer number (25044110).

Almost surely, 2^2898144000 is an apocalyptic number.

2898144000 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 2898144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409527760).

2898144000 is an abundant number, since it is smaller than the sum of its proper divisors (7920911520).

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

2898144000 is a wasteful number, since it uses less digits than its factorization.

2898144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2898144000 is about 53834.4127858752. The cubic root of 2898144000 is about 1425.7388596805.

The spelling of 2898144000 in words is "two billion, eight hundred ninety-eight million, one hundred forty-four thousand".