1821985920 has 256 divisors, whose sum is σ = 6525388800. Its totient is φ = 480411648.

The previous prime is 1821985817. The next prime is 1821985933. The reversal of 1821985920 is 295891281.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675617 + ... + 1676703.

It is an arithmetic number, because the mean of its divisors is an integer number (25489800).

Almost surely, 2^1821985920 is an apocalyptic number.

1821985920 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 1821985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262694400).

1821985920 is an abundant number, since it is smaller than the sum of its proper divisors (4703402880).

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

1821985920 is a wasteful number, since it uses less digits than its factorization.

1821985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1821985920 is about 42684.7270109579. The cubic root of 1821985920 is about 1221.3730666419.

The spelling of 1821985920 in words is "one billion, eight hundred twenty-one million, nine hundred eighty-five thousand, nine hundred twenty".