1890794240 has 72 divisors (see below), whose sum is σ = 4605990480. Its totient is φ = 743469056.

The previous prime is 1890794221. The next prime is 1890794251. The reversal of 1890794240 is 424970981.

It is a junction number, because it is equal to n+sod(n) for n = 1890794191 and 1890794200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63002 + ... + 88038.

It is an arithmetic number, because the mean of its divisors is an integer number (63972090).

Almost surely, 2^1890794240 is an apocalyptic number.

1890794240 is a gapful number since it is divisible by the number (10) 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 1890794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302995240).

1890794240 is an abundant number, since it is smaller than the sum of its proper divisors (2715196240).

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

1890794240 is an equidigital number, since it uses as much as digits as its factorization.

1890794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25117 (or 25103 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 1890794240 is about 43483.2639069332. The cubic root of 1890794240 is about 1236.5587556161.

The spelling of 1890794240 in words is "one billion, eight hundred ninety million, seven hundred ninety-four thousand, two hundred forty".