2429969674896 has 675 divisors, whose sum is σ = 7745402686329. Its totient is φ = 735371529984.

The previous prime is 2429969674879. The next prime is 2429969674903. The reversal of 2429969674896 is 6984769699242.

The square root of 2429969674896 is 1558836.

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

2429969674896 is a `hidden beast` number, since 2 + 42 + 9 + 9 + 6 + 96 + 7 + 489 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1751758131600 + 678211543296 = 1323540^2 + 823536^2 .

It is a super-2 number, since 2×2429969674896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 45848484406 + ... + 45848484458.

Almost surely, 2^{2429969674896} is an apocalyptic number.

2429969674896 is the 1558836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429969674896

2429969674896 is an abundant number, since it is smaller than the sum of its proper divisors (5315433011433).

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

2429969674896 is an equidigital number, since it uses as much as digits as its factorization.

2429969674896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 120 counting only the distinct ones).

The product of its digits is 5079158784, while the sum is 81.

Multiplying 2429969674896 by its sum of digits (81), we get a square (196827543666576 = 14029524²).

2429969674896 divided by its sum of digits (81) gives a square (29999625616 = 173204²).

The spelling of 2429969674896 in words is "two trillion, four hundred twenty-nine billion, nine hundred sixty-nine million, six hundred seventy-four thousand, eight hundred ninety-six".