2842800 has 120 divisors (see below), whose sum is σ = 9594624. Its totient is φ = 718080.

The previous prime is 2842789. The next prime is 2842811. The reversal of 2842800 is 82482.

It is an interprime number because it is at equal distance from previous prime (2842789) and next prime (2842811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

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, 27549 + ... + 27651.

2^2842800 is an apocalyptic number.

2842800 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 2842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797312).

2842800 is an abundant number, since it is smaller than the sum of its proper divisors (6751824).

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

2842800 is a wasteful number, since it uses less digits than its factorization.

2842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2842800 is about 1686.0604971353. The cubic root of 2842800 is about 141.6604995393.

The spelling of 2842800 in words is "two million, eight hundred forty-two thousand, eight hundred".