2429689092516 has 405 divisors, whose sum is σ = 7526796085809. Its totient is φ = 681458811264.

The previous prime is 2429689092461. The next prime is 2429689092521. The reversal of 2429689092516 is 6152909869242.

The square root of 2429689092516 is 1558746.

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

2429689092516 is a `hidden beast` number, since 2 + 4 + 29 + 6 + 8 + 9 + 0 + 92 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 466551838116 + 1963137254400 = 683046^2 + 1401120^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 134 ways as a sum of consecutive naturals, for example, 17479777575 + ... + 17479777713.

Almost surely, 2^{2429689092516} is an apocalyptic number.

2429689092516 is the 1558746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429689092516

2429689092516 is an abundant number, since it is smaller than the sum of its proper divisors (5097106993293).

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

2429689092516 is an equidigital number, since it uses as much as digits as its factorization.

2429689092516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 2429689092516 in words is "two trillion, four hundred twenty-nine billion, six hundred eighty-nine million, ninety-two thousand, five hundred sixteen".