2430011425296 has 480 divisors, whose sum is σ = 8189663328000. Its totient is φ = 614650982400.

The previous prime is 2430011425271. The next prime is 2430011425313. The reversal of 2430011425296 is 6925241100342.

2430011425296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133883230 + ... + 133901378.

It is an arithmetic number, because the mean of its divisors is an integer number (17061798600).

Almost surely, 2^{2430011425296} is an apocalyptic number.

2430011425296 is a gapful number since it is divisible by the number (26) 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 2430011425296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094831664000).

2430011425296 is an abundant number, since it is smaller than the sum of its proper divisors (5759651902704).

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

2430011425296 is a wasteful number, since it uses less digits than its factorization.

2430011425296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18367 (or 18354 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 2430011425296 in words is "two trillion, four hundred thirty billion, eleven million, four hundred twenty-five thousand, two hundred ninety-six".