2116305143040 has 576 divisors, whose sum is σ = 7654619750400. Its totient is φ = 493665484800.

The previous prime is 2116305143039. The next prime is 2116305143053. The reversal of 2116305143040 is 403415036112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2116305142989 and 2116305143007.

It is a congruent number.

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, 234385246 + ... + 234394274.

It is an arithmetic number, because the mean of its divisors is an integer number (13289270400).

Almost surely, 2^{2116305143040} is an apocalyptic number.

2116305143040 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 2116305143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827309875200).

2116305143040 is an abundant number, since it is smaller than the sum of its proper divisors (5538314607360).

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

2116305143040 is a wasteful number, since it uses less digits than its factorization.

2116305143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 2116305143040 in words is "two trillion, one hundred sixteen billion, three hundred five million, one hundred forty-three thousand, forty".