2429140032 has 336 divisors, whose sum is σ = 8064276480. Its totient is φ = 691891200.

The previous prime is 2429140031. The next prime is 2429140037. The reversal of 2429140032 is 2300419242.

It is a super-2 number, since 2×2429140032² = 11801442590129922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2429139978 and 2429140005.

It is not an unprimeable number, because it can be changed into a prime (2429140031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11512407 + ... + 11512617.

Almost surely, 2^2429140032 is an apocalyptic number.

2429140032 is a gapful number since it is divisible by the number (22) 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 2429140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032138240).

2429140032 is an abundant number, since it is smaller than the sum of its proper divisors (5635136448).

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

2429140032 is a wasteful number, since it uses less digits than its factorization.

2429140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2429140032 is about 49286.3067392963. The cubic root of 2429140032 is about 1344.2628100005.

Adding to 2429140032 its reverse (2300419242), we get a palindrome (4729559274).

The spelling of 2429140032 in words is "two billion, four hundred twenty-nine million, one hundred forty thousand, thirty-two".