2429257093120 has 832 divisors, whose sum is σ = 7282257696000. Its totient is φ = 764695019520.

The previous prime is 2429257093117. The next prime is 2429257093121. The reversal of 2429257093120 is 213907529242.

It is a tau number, because it is divible by the number of its divisors (832).

It is not an unprimeable number, because it can be changed into a prime (2429257093121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8290979694 + ... + 8290979986.

Almost surely, 2^{2429257093120} is an apocalyptic number.

2429257093120 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 2429257093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641128848000).

2429257093120 is an abundant number, since it is smaller than the sum of its proper divisors (4853000602880).

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

2429257093120 is a wasteful number, since it uses less digits than its factorization.

2429257093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 2429257093120 in words is "two trillion, four hundred twenty-nine billion, two hundred fifty-seven million, ninety-three thousand, one hundred twenty".