2187874638720 has 1152 divisors, whose sum is σ = 8253668966400. Its totient is φ = 533787770880.

The previous prime is 2187874638713. The next prime is 2187874638727. The reversal of 2187874638720 is 278364787812.

It is a happy number.

2187874638720 is a `hidden beast` number, since 2 + 1 + 8 + 78 + 7 + 463 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2187874638713) and next prime (2187874638727).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2187874638727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16701333055 + ... + 16701333185.

It is an arithmetic number, because the mean of its divisors is an integer number (7164643200).

Almost surely, 2^{2187874638720} is an apocalyptic number.

2187874638720 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 2187874638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126834483200).

2187874638720 is an abundant number, since it is smaller than the sum of its proper divisors (6065794327680).

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

2187874638720 is a wasteful number, since it uses less digits than its factorization.

2187874638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 2187874638720 in words is "two trillion, one hundred eighty-seven billion, eight hundred seventy-four million, six hundred thirty-eight thousand, seven hundred twenty".