2149081605000 has 1920 divisors, whose sum is σ = 8884880928000. Its totient is φ = 479001600000.

The previous prime is 2149081604909. The next prime is 2149081605023. The reversal of 2149081605000 is 5061809412.

2149081605000 is a `hidden beast` number, since 2 + 1 + 4 + 90 + 8 + 1 + 60 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19716344946 + ... + 19716345054.

It is an arithmetic number, because the mean of its divisors is an integer number (4627542150).

Almost surely, 2^{2149081605000} is an apocalyptic number.

2149081605000 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 2149081605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442440464000).

2149081605000 is an abundant number, since it is smaller than the sum of its proper divisors (6735799323000).

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

2149081605000 is a wasteful number, since it uses less digits than its factorization.

2149081605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2149081605000 in words is "two trillion, one hundred forty-nine billion, eighty-one million, six hundred five thousand".