2187670605120 has 3024 divisors, whose sum is σ = 10713201108480. Its totient is φ = 404567654400.

The previous prime is 2187670605119. The next prime is 2187670605121. The reversal of 2187670605120 is 215060767812.

2187670605120 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 6 + 70 + 60 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2187670605119) and next prime (2187670605121).

It is a super-2 number, since 2×2187670605120² (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 not an unprimeable number, because it can be changed into a prime (2187670605121) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8132604346 + ... + 8132604614.

Almost surely, 2^{2187670605120} is an apocalyptic number.

2187670605120 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 2187670605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356600554240).

2187670605120 is an abundant number, since it is smaller than the sum of its proper divisors (8525530503360).

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

2187670605120 is a wasteful number, since it uses less digits than its factorization.

2187670605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2187670605120 in words is "two trillion, one hundred eighty-seven billion, six hundred seventy million, six hundred five thousand, one hundred twenty".