2429626743076 has 27 divisors (see below), whose sum is σ = 4604147594193. Its totient is φ = 1121347484400.

The previous prime is 2429626743053. The next prime is 2429626743097. The reversal of 2429626743076 is 6703476269242.

The square root of 2429626743076 is 1558726.

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

It can be written as a sum of positive squares in only one way, i.e., 359412240100 + 2070214502976 = 599510^2 + 1438824^2 .

It is a super-2 number, since 2×2429626743076² (a number of 26 digits) contains 22 as substring.

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 2429626743076.

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 8 ways as a sum of consecutive naturals, for example, 40496901 + ... + 40556851.

Almost surely, 2^{2429626743076} is an apocalyptic number.

2429626743076 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2429626743076 is the 1558726-th square number.

It is an amenable number.

2429626743076 is a deficient number, since it is larger than the sum of its proper divisors (2174520851117).

2429626743076 is an frugal number, since it uses more digits than its factorization.

2429626743076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119932 (or 59966 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 58.

The spelling of 2429626743076 in words is "two trillion, four hundred twenty-nine billion, six hundred twenty-six million, seven hundred forty-three thousand, seventy-six".