2040301440 has 256 divisors, whose sum is σ = 7332249600. Its totient is φ = 536094720.

The previous prime is 2040301433. The next prime is 2040301447. The reversal of 2040301440 is 441030402.

It is an interprime number because it is at equal distance from previous prime (2040301433) and next prime (2040301447).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040301447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226049 + ... + 1227711.

It is an arithmetic number, because the mean of its divisors is an integer number (28641600).

Almost surely, 2^2040301440 is an apocalyptic number.

2040301440 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 2040301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666124800).

2040301440 is an abundant number, since it is smaller than the sum of its proper divisors (5291948160).

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

2040301440 is a wasteful number, since it uses less digits than its factorization.

2040301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2040301440 is about 45169.6960361701. The cubic root of 2040301440 is about 1268.3276062756.

Adding to 2040301440 its reverse (441030402), we get a palindrome (2481331842).

The spelling of 2040301440 in words is "two billion, forty million, three hundred one thousand, four hundred forty".