541002000 has 320 divisors, whose sum is σ = 2176432128. Its totient is φ = 112320000.

The previous prime is 541001983. The next prime is 541002013. The reversal of 541002000 is 200145.

541002000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461415 + ... + 462585.

Almost surely, 2^541002000 is an apocalyptic number.

541002000 is a gapful number since it is divisible by the number (50) 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 541002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088216064).

541002000 is an abundant number, since it is smaller than the sum of its proper divisors (1635430128).

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

541002000 is a wasteful number, since it uses less digits than its factorization.

541002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 541002000 is about 23259.4496925443. The cubic root of 541002000 is about 814.8286490356.

Adding to 541002000 its reverse (200145), we get a palindrome (541202145).

The spelling of 541002000 in words is "five hundred forty-one million, two thousand".