213005040 has 80 divisors (see below), whose sum is σ = 664639008. Its totient is φ = 56429568.

The previous prime is 213005033. The next prime is 213005057. The reversal of 213005040 is 40500312.

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

It is a super-2 number, since 2×213005040² = 90742294130803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34854 + ... + 40506.

Almost surely, 2^213005040 is an apocalyptic number.

213005040 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 213005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332319504).

213005040 is an abundant number, since it is smaller than the sum of its proper divisors (451633968).

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

213005040 is a wasteful number, since it uses less digits than its factorization.

213005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 213005040 is about 14594.6921858599. The cubic root of 213005040 is about 597.2139723284.

Adding to 213005040 its reverse (40500312), we get a palindrome (253505352).

The spelling of 213005040 in words is "two hundred thirteen million, five thousand, forty".