2112040000 has 280 divisors, whose sum is σ = 6316228160. Its totient is φ = 684288000.

The previous prime is 2112039973. The next prime is 2112040003. The reversal of 2112040000 is 402112.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2112040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5319802 + ... + 5320198.

Almost surely, 2^2112040000 is an apocalyptic number.

2112040000 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 2112040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158114080).

2112040000 is an abundant number, since it is smaller than the sum of its proper divisors (4204188160).

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

2112040000 is an equidigital number, since it uses as much as digits as its factorization.

2112040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2112040000 is about 45956.9363643836. The cubic root of 2112040000 is about 1283.0218317814.

Adding to 2112040000 its reverse (402112), we get a palindrome (2112442112).

The spelling of 2112040000 in words is "two billion, one hundred twelve million, forty thousand".