2187997194240 has 2592 divisors, whose sum is σ = 9577715827680. Its totient is φ = 478235197440.

The previous prime is 2187997194223. The next prime is 2187997194241. The reversal of 2187997194240 is 424917997812.

2187997194240 is a `hidden beast` number, since 218 + 7 + 9 + 97 + 1 + 94 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×2187997194240² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2187997194241) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50883655659 + ... + 50883655701.

It is an arithmetic number, because the mean of its divisors is an integer number (3695106415).

Almost surely, 2^{2187997194240} is an apocalyptic number.

2187997194240 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 2187997194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788857913840).

2187997194240 is an abundant number, since it is smaller than the sum of its proper divisors (7389718633440).

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

2187997194240 is a wasteful number, since it uses less digits than its factorization.

2187997194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 2187997194240 in words is "two trillion, one hundred eighty-seven billion, nine hundred ninety-seven million, one hundred ninety-four thousand, two hundred forty".