2112021504 has 132 divisors (see below), whose sum is σ = 6161510940. Its totient is φ = 696729600.

The previous prime is 2112021421. The next prime is 2112021521. The reversal of 2112021504 is 4051202112.

2112021504 is a `hidden beast` number, since 21 + 120 + 21 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1065369600 + 1046651904 = 32640^2 + 32352^2 .

It is a super-3 number, since 3×2112021504³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 929682 + ... + 931950.

Almost surely, 2^2112021504 is an apocalyptic number.

2112021504 is a gapful number since it is divisible by the number (24) 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 2112021504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080755470).

2112021504 is an abundant number, since it is smaller than the sum of its proper divisors (4049489436).

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

2112021504 is a wasteful number, since it uses less digits than its factorization.

2112021504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2112021504 is about 45956.7351320783. The cubic root of 2112021504 is about 1283.0180864544.

Adding to 2112021504 its reverse (4051202112), we get a palindrome (6163223616).

It can be divided in two parts, 21120 and 21504, that added together give a palindrome (42624).

The spelling of 2112021504 in words is "two billion, one hundred twelve million, twenty-one thousand, five hundred four".