1820944512 has 96 divisors (see below), whose sum is σ = 5248414080. Its totient is φ = 606002688.

The previous prime is 1820944501. The next prime is 1820944577. The reversal of 1820944512 is 2154490281.

1820944512 is a `hidden beast` number, since 1 + 8 + 209 + 445 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1223833 + ... + 1225319.

It is an arithmetic number, because the mean of its divisors is an integer number (54670980).

Almost surely, 2^1820944512 is an apocalyptic number.

1820944512 is a gapful number since it is divisible by the number (12) 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 1820944512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624207040).

1820944512 is an abundant number, since it is smaller than the sum of its proper divisors (3427469568).

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

1820944512 is a wasteful number, since it uses less digits than its factorization.

1820944512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1820944512 is about 42672.5264309485. The cubic root of 1820944512 is about 1221.1403187586.

The spelling of 1820944512 in words is "one billion, eight hundred twenty million, nine hundred forty-four thousand, five hundred twelve".