1755222480 has 320 divisors, whose sum is σ = 6810992640. Its totient is φ = 411609600.

The previous prime is 1755222463. The next prime is 1755222487. The reversal of 1755222480 is 842225571.

It is a happy number.

1755222480 is a `hidden beast` number, since 1 + 7 + 552 + 2 + 24 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1755222487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735369 + ... + 737751.

It is an arithmetic number, because the mean of its divisors is an integer number (21284352).

Almost surely, 2^1755222480 is an apocalyptic number.

1755222480 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 1755222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405496320).

1755222480 is an abundant number, since it is smaller than the sum of its proper divisors (5055770160).

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

1755222480 is a wasteful number, since it uses less digits than its factorization.

1755222480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1755222480 is about 41895.3754011108. The cubic root of 1755222480 is about 1206.2686958542.

The spelling of 1755222480 in words is "one billion, seven hundred fifty-five million, two hundred twenty-two thousand, four hundred eighty".