2429922910041 has 27 divisors (see below), whose sum is σ = 3858058452703. Its totient is φ = 1472649375120.

The previous prime is 2429922910007. The next prime is 2429922910057. The reversal of 2429922910041 is 1400192299242.

It is a happy number.

The square root of 2429922910041 is 1558821.

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

2429922910041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23093361225 + 2406829548816 = 151965^2 + 1551396^2 .

It is not a de Polignac number, because 2429922910041 - 2²¹ = 2429920812889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2429922910091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51417475 + ... + 51464711.

Almost surely, 2^{2429922910041} is an apocalyptic number.

2429922910041 is the 1558821-st square number.

2429922910041 is the 779411-st centered octagonal number.

It is an amenable number.

2429922910041 is a deficient number, since it is larger than the sum of its proper divisors (1428135542662).

2429922910041 is an frugal number, since it uses more digits than its factorization.

2429922910041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94502 (or 47251 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2429922910041 in words is "two trillion, four hundred twenty-nine billion, nine hundred twenty-two million, nine hundred ten thousand, forty-one".