2898016800 has 432 divisors, whose sum is σ = 11559572640. Its totient is φ = 627056640.

The previous prime is 2898016799. The next prime is 2898016801. The reversal of 2898016800 is 86108982.

It is an interprime number because it is at equal distance from previous prime (2898016799) and next prime (2898016801).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2898016801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2233752 + ... + 2235048.

It is an arithmetic number, because the mean of its divisors is an integer number (26758270).

Almost surely, 2^2898016800 is an apocalyptic number.

2898016800 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 2898016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779786320).

2898016800 is an abundant number, since it is smaller than the sum of its proper divisors (8661555840).

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

2898016800 is a wasteful number, since it uses less digits than its factorization.

2898016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 2898016800 is about 53833.2313724525. The cubic root of 2898016800 is about 1425.7180007404.

The spelling of 2898016800 in words is "two billion, eight hundred ninety-eight million, sixteen thousand, eight hundred".