1840227840 has 480 divisors, whose sum is σ = 7135498656. Its totient is φ = 434503680.

The previous prime is 1840227833. The next prime is 1840227853. The reversal of 1840227840 is 487220481.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1840227840² = 6772877006222131200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1840227795 and 1840227804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13432252 + ... + 13432388.

Almost surely, 2^1840227840 is an apocalyptic number.

1840227840 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 1840227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567749328).

1840227840 is an abundant number, since it is smaller than the sum of its proper divisors (5295270816).

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

1840227840 is a wasteful number, since it uses less digits than its factorization.

1840227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1840227840 is about 42897.8768705399. The cubic root of 1840227840 is about 1225.4357111736.

The spelling of 1840227840 in words is "one billion, eight hundred forty million, two hundred twenty-seven thousand, eight hundred forty".