2431451040 has 96 divisors (see below), whose sum is σ = 7669287360. Its totient is φ = 647522304.

The previous prime is 2431451021. The next prime is 2431451059. The reversal of 2431451040 is 401541342.

It is an interprime number because it is at equal distance from previous prime (2431451021) and next prime (2431451059).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2431451040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409372 + ... + 415268.

It is an arithmetic number, because the mean of its divisors is an integer number (79888410).

Almost surely, 2^2431451040 is an apocalyptic number.

2431451040 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 2431451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834643680).

2431451040 is an abundant number, since it is smaller than the sum of its proper divisors (5237836320).

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

2431451040 is a wasteful number, since it uses less digits than its factorization.

2431451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2431451040 is about 49309.7458926732. The cubic root of 2431451040 is about 1344.6889714421.

Adding to 2431451040 its reverse (401541342), we get a palindrome (2832992382).

The spelling of 2431451040 in words is "two billion, four hundred thirty-one million, four hundred fifty-one thousand, forty".