2112213503040 has 448 divisors, whose sum is σ = 7158156115968. Its totient is φ = 525856768000.

The previous prime is 2112213502967. The next prime is 2112213503063. The reversal of 2112213503040 is 403053122112.

It is a super-2 number, since 2×2112213503040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2112213503040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1455694315 + ... + 1455695765.

Almost surely, 2^{2112213503040} is an apocalyptic number.

2112213503040 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 2112213503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579078057984).

2112213503040 is an abundant number, since it is smaller than the sum of its proper divisors (5045942612928).

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

2112213503040 is a wasteful number, since it uses less digits than its factorization.

2112213503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2112213503040 its reverse (403053122112), we get a palindrome (2515266625152).

The spelling of 2112213503040 in words is "two trillion, one hundred twelve billion, two hundred thirteen million, five hundred three thousand, forty".