2112000040 has 64 divisors (see below), whose sum is σ = 4872288960. Its totient is φ = 823495680.

The previous prime is 2112000031. The next prime is 2112000041. The reversal of 2112000040 is 400002112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2111999990 and 2112000026.

It is not an unprimeable number, because it can be changed into a prime (2112000041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187632 + ... + 1189408.

It is an arithmetic number, because the mean of its divisors is an integer number (76129515).

Almost surely, 2^2112000040 is an apocalyptic number.

2112000040 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 2112000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436144480).

2112000040 is an abundant number, since it is smaller than the sum of its proper divisors (2760288920).

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

2112000040 is a wasteful number, since it uses less digits than its factorization.

2112000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2518 counting only the distinct ones).

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

The square root of 2112000040 is about 45956.5016074984. The cubic root of 2112000040 is about 1283.0137400982.

Adding to 2112000040 its reverse (400002112), we get a palindrome (2512002152).

The spelling of 2112000040 in words is "two billion, one hundred twelve million, forty", and thus it is an aban number.