2190086935056 has 320 divisors, whose sum is σ = 6702164684800. Its totient is φ = 682770622464.

The previous prime is 2190086935039. The next prime is 2190086935087. The reversal of 2190086935056 is 6505396800912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2190086934993 and 2190086935011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284904045 + ... + 284911731.

It is an arithmetic number, because the mean of its divisors is an integer number (20944264640).

Almost surely, 2^{2190086935056} 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 2190086935056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351082342400).

2190086935056 is an abundant number, since it is smaller than the sum of its proper divisors (4512077749744).

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

2190086935056 is a wasteful number, since it uses less digits than its factorization.

2190086935056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 2190086935056 in words is "two trillion, one hundred ninety billion, eighty-six million, nine hundred thirty-five thousand, fifty-six".