2113404000 has 192 divisors, whose sum is σ = 7163432640. Its totient is φ = 544051200.

The previous prime is 2113403959. The next prime is 2113404001. The reversal of 2113404000 is 4043112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113404001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344964 + ... + 351036.

It is an arithmetic number, because the mean of its divisors is an integer number (37309545).

Almost surely, 2^2113404000 is an apocalyptic number.

2113404000 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 2113404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581716320).

2113404000 is an abundant number, since it is smaller than the sum of its proper divisors (5050028640).

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

2113404000 is a wasteful number, since it uses less digits than its factorization.

2113404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6112 counting only the distinct ones).

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

The square root of 2113404000 is about 45971.7739488047. The cubic root of 2113404000 is about 1283.2979732016.

Adding to 2113404000 its reverse (4043112), we get a palindrome (2117447112).

The spelling of 2113404000 in words is "two billion, one hundred thirteen million, four hundred four thousand".