42002000 has 40 divisors (see below), whose sum is σ = 101565672. Its totient is φ = 16800000.

The previous prime is 42001997. The next prime is 42002017. The reversal of 42002000 is 20024.

It can be written as a sum of positive squares in 4 ways, for example, as 5326864 + 36675136 = 2308^2 + 6056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8501 + ... + 12500.

Almost surely, 2^42002000 is an apocalyptic number.

42002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002000 is an abundant number, since it is smaller than the sum of its proper divisors (59563672).

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

42002000 is a wasteful number, since it uses less digits than its factorization.

42002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21024 (or 21008 counting only the distinct ones).

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

The square root of 42002000 is about 6480.8949999209. The cubic root of 42002000 is about 347.6081819037.

Adding to 42002000 its reverse (20024), we get a palindrome (42022024).

The spelling of 42002000 in words is "forty-two million, two thousand", and thus it is an eban number.