2190870528 has 288 divisors, whose sum is σ = 7354751040. Its totient is φ = 567705600.

The previous prime is 2190870481. The next prime is 2190870553. The reversal of 2190870528 is 8250780912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2190870528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5203758 + ... + 5204178.

It is an arithmetic number, because the mean of its divisors is an integer number (25537330).

Almost surely, 2^2190870528 is an apocalyptic number.

2190870528 is a gapful number since it is divisible by the number (28) 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 2190870528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677375520).

2190870528 is an abundant number, since it is smaller than the sum of its proper divisors (5163880512).

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

2190870528 is a wasteful number, since it uses less digits than its factorization.

2190870528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 2190870528 is about 46806.7359255054. The cubic root of 2190870528 is about 1298.7899051058.

The spelling of 2190870528 in words is "two billion, one hundred ninety million, eight hundred seventy thousand, five hundred twenty-eight".