2440444020 has 288 divisors, whose sum is σ = 8214369408. Its totient is φ = 539578368.

The previous prime is 2440444007. The next prime is 2440444033. The reversal of 2440444020 is 204440442.

It is an interprime number because it is at equal distance from previous prime (2440444007) and next prime (2440444033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17813392 + ... + 17813528.

It is an arithmetic number, because the mean of its divisors is an integer number (28522116).

Almost surely, 2^2440444020 is an apocalyptic number.

2440444020 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 2440444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107184704).

2440444020 is an abundant number, since it is smaller than the sum of its proper divisors (5773925388).

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

2440444020 is a wasteful number, since it uses less digits than its factorization.

2440444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2440444020 is about 49400.8503975387. The cubic root of 2440444020 is about 1346.3447567598.

Adding to 2440444020 its reverse (204440442), we get a palindrome (2644884462).

The spelling of 2440444020 in words is "two billion, four hundred forty million, four hundred forty-four thousand, twenty".