2820399840 has 576 divisors, whose sum is σ = 10778406912. Its totient is φ = 669081600.

The previous prime is 2820399779. The next prime is 2820399847. The reversal of 2820399840 is 489930282.

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 (2820399847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42095487 + ... + 42095553.

It is an arithmetic number, because the mean of its divisors is an integer number (18712512).

Almost surely, 2^2820399840 is an apocalyptic number.

2820399840 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 2820399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389203456).

2820399840 is an abundant number, since it is smaller than the sum of its proper divisors (7958007072).

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

2820399840 is a wasteful number, since it uses less digits than its factorization.

2820399840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2820399840 is about 53107.4367673681. The cubic root of 2820399840 is about 1412.8744139146.

The spelling of 2820399840 in words is "two billion, eight hundred twenty million, three hundred ninety-nine thousand, eight hundred forty".