2998800 has 270 divisors, whose sum is σ = 12817818. Its totient is φ = 645120.

The previous prime is 2998771. The next prime is 2998811. The reversal of 2998800 is 88992.

2998800 = 43³ + 44³ + ... + 62³.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 2547216 = 672^2 + 1596^2 .

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 53 ways as a sum of consecutive naturals, for example, 176392 + ... + 176408.

2^2998800 is an apocalyptic number.

2998800 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 2998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408909).

2998800 is an abundant number, since it is smaller than the sum of its proper divisors (9819018).

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

2998800 is a wasteful number, since it uses less digits than its factorization.

2998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2998800 is about 1731.7043627594. The cubic root of 2998800 is about 144.2057244719.

The spelling of 2998800 in words is "two million, nine hundred ninety-eight thousand, eight hundred".