2112410400240 has 160 divisors (see below), whose sum is σ = 7495611250176. Its totient is φ = 482085504000.

The previous prime is 2112410400229. The next prime is 2112410400263. The reversal of 2112410400240 is 420040142112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102490 + ... + 2057990.

Almost surely, 2^{2112410400240} is an apocalyptic number.

2112410400240 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 2112410400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747805625088).

2112410400240 is an abundant number, since it is smaller than the sum of its proper divisors (5383200849936).

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

2112410400240 is a wasteful number, since it uses less digits than its factorization.

2112410400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956167 (or 1956161 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2112410400240 its reverse (420040142112), we get a palindrome (2532450542352).

The spelling of 2112410400240 in words is "two trillion, one hundred twelve billion, four hundred ten million, four hundred thousand, two hundred forty".