2042800 has 30 divisors (see below), whose sum is σ = 4908788. Its totient is φ = 816960.

The previous prime is 2042797. The next prime is 2042809. The reversal of 2042800 is 82402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2042809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2154 + ... + 2953.

2^2042800 is an apocalyptic number.

2042800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042800 is an abundant number, since it is smaller than the sum of its proper divisors (2865988).

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

2042800 is a wasteful number, since it uses less digits than its factorization.

2042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2042800 is about 1429.2655456562. The cubic root of 2042800 is about 126.8845127830.

The spelling of 2042800 in words is "two million, forty-two thousand, eight hundred".