2109986641152 has 360 divisors, whose sum is σ = 6781186316520. Its totient is φ = 648688435200.

The previous prime is 2109986641117. The next prime is 2109986641183. The reversal of 2109986641152 is 2511466899012.

2109986641152 is a `hidden beast` number, since 2 + 10 + 99 + 86 + 6 + 411 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 808963531776 + 1301023109376 = 899424^2 + 1140624^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 431575924 + ... + 431580812.

It is an arithmetic number, because the mean of its divisors is an integer number (18836628657).

Almost surely, 2^{2109986641152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109986641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390593158260).

2109986641152 is an abundant number, since it is smaller than the sum of its proper divisors (4671199675368).

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

2109986641152 is a wasteful number, since it uses less digits than its factorization.

2109986641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2109986641152 in words is "two trillion, one hundred nine billion, nine hundred eighty-six million, six hundred forty-one thousand, one hundred fifty-two".