2431034040 has 128 divisors (see below), whose sum is σ = 7941888000. Its totient is φ = 592962048.

The previous prime is 2431034003. The next prime is 2431034041. The reversal of 2431034040 is 404301342.

It is a junction number, because it is equal to n+sod(n) for n = 2431033998 and 2431034016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431034041) 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, 47737 + ... + 84503.

It is an arithmetic number, because the mean of its divisors is an integer number (62046000).

Almost surely, 2^2431034040 is an apocalyptic number.

2431034040 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 2431034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970944000).

2431034040 is an abundant number, since it is smaller than the sum of its proper divisors (5510853960).

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

2431034040 is a wasteful number, since it uses less digits than its factorization.

2431034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36829 (or 36825 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2431034040 is about 49305.5173383263. The cubic root of 2431034040 is about 1344.6120945278.

Adding to 2431034040 its reverse (404301342), we get a palindrome (2835335382).

The spelling of 2431034040 in words is "two billion, four hundred thirty-one million, thirty-four thousand, forty".