1802442240 has 320 divisors, whose sum is σ = 6496459200. Its totient is φ = 473628672.

The previous prime is 1802442211. The next prime is 1802442251. The reversal of 1802442240 is 422442081.

1802442240 is a `hidden beast` number, since 180 + 2 + 442 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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, 6151534 + ... + 6151826.

It is an arithmetic number, because the mean of its divisors is an integer number (20301435).

Almost surely, 2^1802442240 is an apocalyptic number.

1802442240 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 1802442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248229600).

1802442240 is an abundant number, since it is smaller than the sum of its proper divisors (4694016960).

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

1802442240 is an equidigital number, since it uses as much as digits as its factorization.

1802442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1802442240 is about 42455.1791893522. The cubic root of 1802442240 is about 1216.9903059296.

The spelling of 1802442240 in words is "one billion, eight hundred two million, four hundred forty-two thousand, two hundred forty".