2823776640 has 384 divisors, whose sum is σ = 10300792320. Its totient is φ = 739031040.

The previous prime is 2823776623. The next prime is 2823776647. The reversal of 2823776640 is 466773282.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823776647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10419705 + ... + 10419975.

It is an arithmetic number, because the mean of its divisors is an integer number (26824980).

Almost surely, 2^2823776640 is an apocalyptic number.

2823776640 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 2823776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150396160).

2823776640 is an abundant number, since it is smaller than the sum of its proper divisors (7477015680).

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

2823776640 is an equidigital number, since it uses as much as digits as its factorization.

2823776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2823776640 is about 53139.2194146658. The cubic root of 2823776640 is about 1413.4380563990.

The spelling of 2823776640 in words is "two billion, eight hundred twenty-three million, seven hundred seventy-six thousand, six hundred forty".