2190859456896 has 640 divisors, whose sum is σ = 7434894852000. Its totient is φ = 634302627840.

The previous prime is 2190859456831. The next prime is 2190859456937. The reversal of 2190859456896 is 6986549580912.

2190859456896 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 8 + 59 + 4 + 568 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 320813610 + ... + 320820438.

Almost surely, 2^{2190859456896} 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 2190859456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717447426000).

2190859456896 is an abundant number, since it is smaller than the sum of its proper divisors (5244035395104).

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

2190859456896 is a wasteful number, since it uses less digits than its factorization.

2190859456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 2190859456896 in words is "two trillion, one hundred ninety billion, eight hundred fifty-nine million, four hundred fifty-six thousand, eight hundred ninety-six".