2187855671040 has 2016 divisors, whose sum is σ = 8938048037184. Its totient is φ = 509289431040.

The previous prime is 2187855671017. The next prime is 2187855671051. The reversal of 2187855671040 is 401765587812.

2187855671040 is a `hidden beast` number, since 2 + 1 + 8 + 78 + 5 + 567 + 1 + 0 + 4 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 26359706839 + ... + 26359706921.

It is an arithmetic number, because the mean of its divisors is an integer number (4433555574).

Almost surely, 2^{2187855671040} is an apocalyptic number.

2187855671040 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 2187855671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469024018592).

2187855671040 is an abundant number, since it is smaller than the sum of its proper divisors (6750192366144).

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

2187855671040 is an equidigital number, since it uses as much as digits as its factorization.

2187855671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 2187855671040 in words is "two trillion, one hundred eighty-seven billion, eight hundred fifty-five million, six hundred seventy-one thousand, forty".