1810008420 has 96 divisors (see below), whose sum is σ = 5557216896. Its totient is φ = 436531200.

The previous prime is 1810008413. The next prime is 1810008433. The reversal of 1810008420 is 248000181.

It is a super-2 number, since 2×1810008420² = 6552260960941792800, which contains 22 as substring.

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, 123060 + ... + 136980.

It is an arithmetic number, because the mean of its divisors is an integer number (57887676).

Almost surely, 2^1810008420 is an apocalyptic number.

1810008420 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 1810008420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778608448).

1810008420 is an abundant number, since it is smaller than the sum of its proper divisors (3747208476).

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

1810008420 is a wasteful number, since it uses less digits than its factorization.

1810008420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14141 (or 14139 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1810008420 is about 42544.1937284043. The cubic root of 1810008420 is about 1218.6907974924.

It can be divided in two parts, 181000 and 8420, that added together give a triangular number (189420 = T₆₁₅).

The spelling of 1810008420 in words is "one billion, eight hundred ten million, eight thousand, four hundred twenty".