1822201920 has 840 divisors, whose sum is σ = 8240645952. Its totient is φ = 374077440.

The previous prime is 1822201919. The next prime is 1822201999. The reversal of 1822201920 is 291022281.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21954199 + ... + 21954281.

Almost surely, 2^1822201920 is an apocalyptic number.

1822201920 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 1822201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120322976).

1822201920 is an abundant number, since it is smaller than the sum of its proper divisors (6418444032).

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

1822201920 is a wasteful number, since it uses less digits than its factorization.

1822201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1822201920 is about 42687.2571149752. The cubic root of 1822201920 is about 1221.4213301246.

The spelling of 1822201920 in words is "one billion, eight hundred twenty-two million, two hundred one thousand, nine hundred twenty".