20042000 has 80 divisors (see below), whose sum is σ = 52925184. Its totient is φ = 7280000.

The previous prime is 20041981. The next prime is 20042041. The reversal of 20042000 is 24002.

20042000 = T₁₂₁ + T₁₂₂ + ... + T₄₉₅.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21545 + ... + 22455.

Almost surely, 2^20042000 is an apocalyptic number.

20042000 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 20042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462592).

20042000 is an abundant number, since it is smaller than the sum of its proper divisors (32883184).

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

20042000 is a wasteful number, since it uses less digits than its factorization.

20042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20042000 is about 4476.8292350725. The cubic root of 20042000 is about 271.6316380411.

Adding to 20042000 its reverse (24002), we get a palindrome (20066002).

It can be divided in two parts, 2004 and 2000, that added together give a palindrome (4004).

The spelling of 20042000 in words is "twenty million, forty-two thousand".