1822479120 has 480 divisors, whose sum is σ = 7754932224. Its totient is φ = 372556800.

The previous prime is 1822479089. The next prime is 1822479149. The reversal of 1822479120 is 219742281.

1822479120 is a `hidden beast` number, since 182 + 2 + 479 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3936009 + ... + 3936471.

Almost surely, 2^1822479120 is an apocalyptic number.

1822479120 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 1822479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877466112).

1822479120 is an abundant number, since it is smaller than the sum of its proper divisors (5932453104).

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

1822479120 is a wasteful number, since it uses less digits than its factorization.

1822479120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1822479120 is about 42690.5038621003. The cubic root of 1822479120 is about 1221.4832626730.

It can be divided in two parts, 18224 and 79120, that added together give a square (97344 = 312²).

The spelling of 1822479120 in words is "one billion, eight hundred twenty-two million, four hundred seventy-nine thousand, one hundred twenty".