2074800 has 240 divisors, whose sum is σ = 8610560. Its totient is φ = 414720.

The previous prime is 2074753. The next prime is 2074801. The reversal of 2074800 is 84702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2074801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109191 + ... + 109209.

2^2074800 is an apocalyptic number.

2074800 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 2074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305280).

2074800 is an abundant number, since it is smaller than the sum of its proper divisors (6535760).

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

2074800 is a wasteful number, since it uses less digits than its factorization.

2074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2074800 is about 1440.4166064025. The cubic root of 2074800 is about 127.5436221363.

The spelling of 2074800 in words is "two million, seventy-four thousand, eight hundred".