2429751442756 has 27 divisors (see below), whose sum is σ = 4673823389053. Its totient is φ = 1104416886320.

The previous prime is 2429751442717. The next prime is 2429751442759. The reversal of 2429751442756 is 6572441579242.

It is a happy number.

The square root of 2429751442756 is 1558766.

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

2429751442756 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., 2136186864900 + 293564577856 = 1461570^2 + 541816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2429751442756.

It is not an unprimeable number, because it can be changed into a prime (2429751442759) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34257426 + ... + 34328278.

Almost surely, 2^{2429751442756} is an apocalyptic number.

2429751442756 is the 1558766-th square number.

It is an amenable number.

2429751442756 is a deficient number, since it is larger than the sum of its proper divisors (2244071946297).

2429751442756 is an frugal number, since it uses more digits than its factorization.

2429751442756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141732 (or 70866 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 58.

The spelling of 2429751442756 in words is "two trillion, four hundred twenty-nine billion, seven hundred fifty-one million, four hundred forty-two thousand, seven hundred fifty-six".