1842402240 has 448 divisors, whose sum is σ = 7619512320. Its totient is φ = 410296320.

The previous prime is 1842402227. The next prime is 1842402407. The reversal of 1842402240 is 422042481.

1842402240 is a `hidden beast` number, since 18 + 4 + 2 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 2479309 + ... + 2480051.

It is an arithmetic number, because the mean of its divisors is an integer number (17007840).

Almost surely, 2^1842402240 is an apocalyptic number.

1842402240 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 1842402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809756160).

1842402240 is an abundant number, since it is smaller than the sum of its proper divisors (5777110080).

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

1842402240 is a wasteful number, since it uses less digits than its factorization.

1842402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

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

The square root of 1842402240 is about 42923.2133000315. The cubic root of 1842402240 is about 1225.9181765429.

The spelling of 1842402240 in words is "one billion, eight hundred forty-two million, four hundred two thousand, two hundred forty".