2431015040 has 128 divisors (see below), whose sum is σ = 6315840000. Its totient is φ = 891371520.

The previous prime is 2431015039. The next prime is 2431015043. The reversal of 2431015040 is 405101342.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2431015043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373736 + ... + 380184.

It is an arithmetic number, because the mean of its divisors is an integer number (49342500).

Almost surely, 2^2431015040 is an apocalyptic number.

2431015040 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 2431015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157920000).

2431015040 is an abundant number, since it is smaller than the sum of its proper divisors (3884824960).

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

2431015040 is a wasteful number, since it uses less digits than its factorization.

2431015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2431015040 is about 49305.3246617442. The cubic root of 2431015040 is about 1344.6085915333.

Adding to 2431015040 its reverse (405101342), we get a palindrome (2836116382).

The spelling of 2431015040 in words is "two billion, four hundred thirty-one million, fifteen thousand, forty".