2186405651136 has 224 divisors, whose sum is σ = 6676331397120. Its totient is φ = 618568971264.

The previous prime is 2186405651123. The next prime is 2186405651137. The reversal of 2186405651136 is 6311565046812.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2186405651136² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2186405651137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59011305 + ... + 59048343.

It is an arithmetic number, because the mean of its divisors is an integer number (29805050880).

Almost surely, 2^{2186405651136} 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 2186405651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338165698560).

2186405651136 is an abundant number, since it is smaller than the sum of its proper divisors (4489925745984).

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

2186405651136 is a wasteful number, since it uses less digits than its factorization.

2186405651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37491 (or 37481 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 2186405651136 in words is "two trillion, one hundred eighty-six billion, four hundred five million, six hundred fifty-one thousand, one hundred thirty-six".