2041213200 has 240 divisors, whose sum is σ = 7349112960. Its totient is φ = 480522240.

The previous prime is 2041213189. The next prime is 2041213211. The reversal of 2041213200 is 23121402.

It is an interprime number because it is at equal distance from previous prime (2041213189) and next prime (2041213211).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2041213200.

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, 355956 + ... + 361644.

It is an arithmetic number, because the mean of its divisors is an integer number (30621304).

Almost surely, 2^2041213200 is an apocalyptic number.

2041213200 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 2041213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674556480).

2041213200 is an abundant number, since it is smaller than the sum of its proper divisors (5307899760).

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

2041213200 is a wasteful number, since it uses less digits than its factorization.

2041213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2041213200 is about 45179.7875161006. The cubic root of 2041213200 is about 1268.5165061674.

Adding to 2041213200 its reverse (23121402), we get a palindrome (2064334602).

The spelling of 2041213200 in words is "two billion, forty-one million, two hundred thirteen thousand, two hundred".