2121600000 has 528 divisors, whose sum is σ = 8059546656. Its totient is φ = 491520000.

The previous prime is 2121599999. The next prime is 2121600001. The reversal of 2121600000 is 61212.

It is an interprime number because it is at equal distance from previous prime (2121599999) and next prime (2121600001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2121600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124799992 + ... + 124800008.

Almost surely, 2^2121600000 is an apocalyptic number.

2121600000 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 2121600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029773328).

2121600000 is an abundant number, since it is smaller than the sum of its proper divisors (5937946656).

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

2121600000 is an equidigital number, since it uses as much as digits as its factorization.

2121600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

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

The square root of 2121600000 is about 46060.8293455513. The cubic root of 2121600000 is about 1284.9547542195.

Adding to 2121600000 its reverse (61212), we get a palindrome (2121661212).

The spelling of 2121600000 in words is "two billion, one hundred twenty-one million, six hundred thousand".