2823555840 has 576 divisors, whose sum is σ = 11274246144. Its totient is φ = 587464704.

The previous prime is 2823555829. The next prime is 2823555841. The reversal of 2823555840 is 485553282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2823555792 and 2823555801.

It is not an unprimeable number, because it can be changed into a prime (2823555841) 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, 16907437 + ... + 16907603.

It is an arithmetic number, because the mean of its divisors is an integer number (19573344).

Almost surely, 2^2823555840 is an apocalyptic number.

2823555840 is a gapful number since it is divisible by the number (20) 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 2823555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637123072).

2823555840 is an abundant number, since it is smaller than the sum of its proper divisors (8450690304).

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

2823555840 is a wasteful number, since it uses less digits than its factorization.

2823555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 2823555840 is about 53137.1418124837. The cubic root of 2823555840 is about 1413.4012150459.

The spelling of 2823555840 in words is "two billion, eight hundred twenty-three million, five hundred fifty-five thousand, eight hundred forty".