2426129240 has 64 divisors (see below), whose sum is σ = 5730600960. Its totient is φ = 922641280.

The previous prime is 2426129201. The next prime is 2426129243. The reversal of 2426129240 is 429216242.

It is a super-2 number, since 2×2426129240² = 11772206178365955200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2426129197 and 2426129206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426129243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145745 + ... + 161535.

It is an arithmetic number, because the mean of its divisors is an integer number (89540640).

Almost surely, 2^2426129240 is an apocalyptic number.

2426129240 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 2426129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865300480).

2426129240 is an abundant number, since it is smaller than the sum of its proper divisors (3304471720).

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

2426129240 is a wasteful number, since it uses less digits than its factorization.

2426129240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15992 (or 15988 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2426129240 is about 49255.7533695303. The cubic root of 2426129240 is about 1343.7071992425.

The spelling of 2426129240 in words is "two billion, four hundred twenty-six million, one hundred twenty-nine thousand, two hundred forty".