21042000 has 240 divisors, whose sum is σ = 84494592. Its totient is φ = 4780800.

The previous prime is 21041989. The next prime is 21042013. The reversal of 21042000 is 24012.

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 (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125917 + ... + 126083.

Almost surely, 2^21042000 is an apocalyptic number.

21042000 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 21042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296).

21042000 is an abundant number, since it is smaller than the sum of its proper divisors (63452592).

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

21042000 is a wasteful number, since it uses less digits than its factorization.

21042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 21042000 is about 4587.1559816514. The cubic root of 21042000 is about 276.0762234337.

Adding to 21042000 its reverse (24012), we get a palindrome (21066012).

The spelling of 21042000 in words is "twenty-one million, forty-two thousand".