1820291040 has 144 divisors (see below), whose sum is σ = 6226195248. Its totient is φ = 484282368.

The previous prime is 1820291027. The next prime is 1820291071. The reversal of 1820291040 is 401920281.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1820290995 and 1820291013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751912 + ... + 754328.

It is an arithmetic number, because the mean of its divisors is an integer number (43237467).

Almost surely, 2^1820291040 is an apocalyptic number.

1820291040 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 1820291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113097624).

1820291040 is an abundant number, since it is smaller than the sum of its proper divisors (4405904208).

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

1820291040 is a wasteful number, since it uses less digits than its factorization.

1820291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2950 counting only the distinct ones).

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

The square root of 1820291040 is about 42664.8689204596. The cubic root of 1820291040 is about 1220.9942267212.

The spelling of 1820291040 in words is "one billion, eight hundred twenty million, two hundred ninety-one thousand, forty".