1745022240 has 432 divisors, whose sum is σ = 6694813944. Its totient is φ = 411402240.

The previous prime is 1745022221. The next prime is 1745022241. The reversal of 1745022240 is 422205471.

It can be written as a sum of positive squares in 4 ways, for example, as 1047428496 + 697593744 = 32364^2 + 26412^2 .

It is not an unprimeable number, because it can be changed into a prime (1745022241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17989872 + ... + 17989968.

Almost surely, 2^1745022240 is an apocalyptic number.

1745022240 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 1745022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347406972).

1745022240 is an abundant number, since it is smaller than the sum of its proper divisors (4949791704).

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

1745022240 is a wasteful number, since it uses less digits than its factorization.

1745022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1745022240 is about 41773.4633469623. The cubic root of 1745022240 is about 1203.9274651578.

The spelling of 1745022240 in words is "one billion, seven hundred forty-five million, twenty-two thousand, two hundred forty".