2111300400 has 240 divisors, whose sum is σ = 7416275328. Its totient is φ = 509184000.

The previous prime is 2111300293. The next prime is 2111300419. The reversal of 2111300400 is 40031112.

It is a happy number.

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 (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4052140 + ... + 4052660.

Almost surely, 2^2111300400 is an apocalyptic number.

2111300400 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 2111300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708137664).

2111300400 is an abundant number, since it is smaller than the sum of its proper divisors (5304974928).

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

2111300400 is a wasteful number, since it uses less digits than its factorization.

2111300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2111300400 is about 45948.8889963620. Note that the first 3 decimals coincide. The cubic root of 2111300400 is about 1282.8720502536.

Adding to 2111300400 its reverse (40031112), we get a palindrome (2151331512).

The spelling of 2111300400 in words is "two billion, one hundred eleven million, three hundred thousand, four hundred".