2429209022464 has 273 divisors, whose sum is σ = 5748403180831. Its totient is φ = 1026426347520.

The previous prime is 2429209022381. The next prime is 2429209022479. The reversal of 2429209022464 is 4642209029242.

The square root of 2429209022464 is 1558592.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×2429209022464³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 34214211549 + ... + 34214211619.

Almost surely, 2^{2429209022464} is an apocalyptic number.

2429209022464 is the 1558592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429209022464

2429209022464 is an abundant number, since it is smaller than the sum of its proper divisors (3319194158367).

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

2429209022464 is an frugal number, since it uses more digits than its factorization.

2429209022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 2429209022464 in words is "two trillion, four hundred twenty-nine billion, two hundred nine million, twenty-two thousand, four hundred sixty-four".