1820651040 has 384 divisors, whose sum is σ = 7269937920. Its totient is φ = 421576704.

The previous prime is 1820651039. The next prime is 1820651047. The reversal of 1820651040 is 401560281.

1820651040 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 651 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1820650995 and 1820651013.

It is not an unprimeable number, because it can be changed into a prime (1820651047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 953767 + ... + 955673.

It is an arithmetic number, because the mean of its divisors is an integer number (18932130).

Almost surely, 2^1820651040 is an apocalyptic number.

1820651040 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 1820651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634968960).

1820651040 is an abundant number, since it is smaller than the sum of its proper divisors (5449286880).

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

1820651040 is a wasteful number, since it uses less digits than its factorization.

1820651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1820651040 is about 42669.0876396484. The cubic root of 1820651040 is about 1221.0747136576.

The spelling of 1820651040 in words is "one billion, eight hundred twenty million, six hundred fifty-one thousand, forty".