2430031132040 has 128 divisors (see below), whose sum is σ = 5757523027200. Its totient is φ = 921265213440.

The previous prime is 2430031132031. The next prime is 2430031132057. The reversal of 2430031132040 is 402311300342.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2430031131997 and 2430031132015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66607244 + ... + 66643716.

It is an arithmetic number, because the mean of its divisors is an integer number (44980648650).

Almost surely, 2^{2430031132040} is an apocalyptic number.

2430031132040 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 2430031132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878761513600).

2430031132040 is an abundant number, since it is smaller than the sum of its proper divisors (3327491895160).

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

2430031132040 is a wasteful number, since it uses less digits than its factorization.

2430031132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37167 (or 37163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2430031132040 its reverse (402311300342), we get a palindrome (2832342432382).

The spelling of 2430031132040 in words is "two trillion, four hundred thirty billion, thirty-one million, one hundred thirty-two thousand, forty".