2442787920 has 120 divisors (see below), whose sum is σ = 8213394696. Its totient is φ = 650640384.

The previous prime is 2442787901. The next prime is 2442787961. The reversal of 2442787920 is 297872442.

It can be written as a sum of positive squares in 4 ways, for example, as 58614336 + 2384173584 = 7656^2 + 48828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871962 + ... + 874758.

Almost surely, 2^2442787920 is an apocalyptic number.

2442787920 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 2442787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106697348).

2442787920 is an abundant number, since it is smaller than the sum of its proper divisors (5770606776).

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

2442787920 is a wasteful number, since it uses less digits than its factorization.

2442787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2442787920 is about 49424.5679799025. The cubic root of 2442787920 is about 1346.7756466173.

The spelling of 2442787920 in words is "two billion, four hundred forty-two million, seven hundred eighty-seven thousand, nine hundred twenty".