2116724037120 has 1600 divisors, whose sum is σ = 9710354497536. Its totient is φ = 427831787520.

The previous prime is 2116724037091. The next prime is 2116724037133. The reversal of 2116724037120 is 217304276112.

2116724037120 is a `hidden beast` number, since 2 + 1 + 167 + 2 + 403 + 71 + 20 = 666.

It is a super-2 number, since 2×2116724037120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 590766849 + ... + 590770431.

Almost surely, 2^{2116724037120} is an apocalyptic number.

2116724037120 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 2116724037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855177248768).

2116724037120 is an abundant number, since it is smaller than the sum of its proper divisors (7593630460416).

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

2116724037120 is a wasteful number, since it uses less digits than its factorization.

2116724037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 2116724037120 in words is "two trillion, one hundred sixteen billion, seven hundred twenty-four million, thirty-seven thousand, one hundred twenty".