2992800 has 144 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 752640.

The previous prime is 2992793. The next prime is 2992817. The reversal of 2992800 is 82992.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69579 + ... + 69621.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

2^2992800 is an apocalyptic number.

2992800 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 2992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

2992800 is an abundant number, since it is smaller than the sum of its proper divisors (7319040).

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

2992800 is a wasteful number, since it uses less digits than its factorization.

2992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2992800 is about 1729.9710980245. The cubic root of 2992800 is about 144.1094846379.

It can be divided in two parts, 29 and 92800, that added together give a palindrome (92829).

The spelling of 2992800 in words is "two million, nine hundred ninety-two thousand, eight hundred".