1869114240 has 384 divisors, whose sum is σ = 7449361920. Its totient is φ = 423014400.

The previous prime is 1869114229. The next prime is 1869114257. The reversal of 1869114240 is 424119681.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1869114195 and 1869114204.

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, 6088167 + ... + 6088473.

It is an arithmetic number, because the mean of its divisors is an integer number (19399380).

Almost surely, 2^1869114240 is an apocalyptic number.

1869114240 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 1869114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724680960).

1869114240 is an abundant number, since it is smaller than the sum of its proper divisors (5580247680).

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

1869114240 is a wasteful number, since it uses less digits than its factorization.

1869114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1869114240 is about 43233.2538678273. The cubic root of 1869114240 is about 1231.8144151781.

The spelling of 1869114240 in words is "one billion, eight hundred sixty-nine million, one hundred fourteen thousand, two hundred forty".