2411412400 has 60 divisors (see below), whose sum is σ = 5827073472. Its totient is φ = 958961920.

The previous prime is 2411412389. The next prime is 2411412401. The reversal of 2411412400 is 42141142.

It is not an unprimeable number, because it can be changed into a prime (2411412401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51777 + ... + 86623.

Almost surely, 2^2411412400 is an apocalyptic number.

2411412400 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 2411412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913536736).

2411412400 is an abundant number, since it is smaller than the sum of its proper divisors (3415661072).

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

2411412400 is a wasteful number, since it uses less digits than its factorization.

2411412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35038 (or 35027 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2411412400 is about 49106.1340363910. The cubic root of 2411412400 is about 1340.9847220876.

Adding to 2411412400 its reverse (42141142), we get a palindrome (2453553542).

The spelling of 2411412400 in words is "two billion, four hundred eleven million, four hundred twelve thousand, four hundred".