2986800 has 120 divisors (see below), whose sum is σ = 10148160. Its totient is φ = 748800.

The previous prime is 2986799. The next prime is 2986801. The reversal of 2986800 is 86892.

It is an interprime number because it is at equal distance from previous prime (2986799) and next prime (2986801).

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

It is not an unprimeable number, because it can be changed into a prime (2986801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22735 + ... + 22865.

It is an arithmetic number, because the mean of its divisors is an integer number (84568).

2^2986800 is an apocalyptic number.

2986800 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 2986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074080).

2986800 is an abundant number, since it is smaller than the sum of its proper divisors (7161360).

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

2986800 is a wasteful number, since it uses less digits than its factorization.

2986800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2986800 is about 1728.2360949824. The cubic root of 2986800 is about 144.0131160892.

The spelling of 2986800 in words is "two million, nine hundred eighty-six thousand, eight hundred".