1802643840 has 192 divisors, whose sum is σ = 6274897200. Its totient is φ = 476835840.

The previous prime is 1802643839. The next prime is 1802643847. The reversal of 1802643840 is 483462081.

1802643840 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 643 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1802643795 and 1802643804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1802643847) 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 23 ways as a sum of consecutive naturals, for example, 753366 + ... + 755754.

Almost surely, 2^1802643840 is an apocalyptic number.

1802643840 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 1802643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137448600).

1802643840 is an abundant number, since it is smaller than the sum of its proper divisors (4472253360).

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

1802643840 is a wasteful number, since it uses less digits than its factorization.

1802643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1802643840 is about 42457.5533915934. The cubic root of 1802643840 is about 1217.0356769811.

The spelling of 1802643840 in words is "one billion, eight hundred two million, six hundred forty-three thousand, eight hundred forty".