1833822006240 has 384 divisors, whose sum is σ = 7104703269888. Its totient is φ = 388034887680.

The previous prime is 1833822006169. The next prime is 1833822006241. The reversal of 1833822006240 is 426002283381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1833822006241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3221167 + ... + 3747473.

It is an arithmetic number, because the mean of its divisors is an integer number (18501831432).

Almost surely, 2^{1833822006240} is an apocalyptic number.

1833822006240 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 1833822006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552351634944).

1833822006240 is an abundant number, since it is smaller than the sum of its proper divisors (5270881263648).

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

1833822006240 is a wasteful number, since it uses less digits than its factorization.

1833822006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526410 (or 526402 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 1833822006240 in words is "one trillion, eight hundred thirty-three billion, eight hundred twenty-two million, six thousand, two hundred forty".