2429442952872 has 192 divisors, whose sum is σ = 6792834447360. Its totient is φ = 722988115200.

The previous prime is 2429442952861. The next prime is 2429442952907. The reversal of 2429442952872 is 2782592449242.

It is a happy number.

It is a super-2 number, since 2×2429442952872² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267938883 + ... + 267947949.

It is an arithmetic number, because the mean of its divisors is an integer number (35379346080).

Almost surely, 2^{2429442952872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429442952872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396417223680).

2429442952872 is an abundant number, since it is smaller than the sum of its proper divisors (4363391494488).

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

2429442952872 is a wasteful number, since it uses less digits than its factorization.

2429442952872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 11247 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 2429442952872 in words is "two trillion, four hundred twenty-nine billion, four hundred forty-two million, nine hundred fifty-two thousand, eight hundred seventy-two".