2190675456 has 200 divisors, whose sum is σ = 6615953784. Its totient is φ = 721612800.

The previous prime is 2190675449. The next prime is 2190675467. The reversal of 2190675456 is 6545760912.

2190675456 is a `hidden beast` number, since 2 + 190 + 6 + 7 + 5 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4188411 + ... + 4188933.

Almost surely, 2^2190675456 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 2190675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307976892).

2190675456 is an abundant number, since it is smaller than the sum of its proper divisors (4425278328).

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

2190675456 is an equidigital number, since it uses as much as digits as its factorization.

2190675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2190675456 is about 46804.6520764763. The cubic root of 2190675456 is about 1298.7513564922.

The spelling of 2190675456 in words is "two billion, one hundred ninety million, six hundred seventy-five thousand, four hundred fifty-six".