2440701120 has 448 divisors, whose sum is σ = 9512100864. Its totient is φ = 521748480.

The previous prime is 2440701079. The next prime is 2440701149. The reversal of 2440701120 is 211070442.

It is a happy number.

It is a super-4 number, since 4×2440701120⁴ (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3157054 + ... + 3157826.

It is an arithmetic number, because the mean of its divisors is an integer number (21232368).

Almost surely, 2^2440701120 is an apocalyptic number.

2440701120 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 2440701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756050432).

2440701120 is an abundant number, since it is smaller than the sum of its proper divisors (7071399744).

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

2440701120 is a wasteful number, since it uses less digits than its factorization.

2440701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2440701120 is about 49403.4525109329. The cubic root of 2440701120 is about 1346.3920340967.

Adding to 2440701120 its reverse (211070442), we get a palindrome (2651771562).

The spelling of 2440701120 in words is "two billion, four hundred forty million, seven hundred one thousand, one hundred twenty".