2141655816600 has 192 divisors, whose sum is σ = 7390929033600. Its totient is φ = 570015480960.

The previous prime is 2141655816581. The next prime is 2141655816613. The reversal of 2141655816600 is 66185561412.

2141655816600 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 6 + 5 + 581 + 6 + 60 + 0 = 666.

It is a super-2 number, since 2×2141655816600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2445039 + ... + 3203361.

It is an arithmetic number, because the mean of its divisors is an integer number (38494422050).

Almost surely, 2^{2141655816600} is an apocalyptic number.

2141655816600 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 2141655816600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695464516800).

2141655816600 is an abundant number, since it is smaller than the sum of its proper divisors (5249273217000).

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

2141655816600 is a wasteful number, since it uses less digits than its factorization.

2141655816600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758871 (or 758856 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2141655816600 in words is "two trillion, one hundred forty-one billion, six hundred fifty-five million, eight hundred sixteen thousand, six hundred".