2429492049600 has 1344 divisors, whose sum is σ = 10214984294400. Its totient is φ = 501122764800.

The previous prime is 2429492049557. The next prime is 2429492049641. The reversal of 2429492049600 is 69402949242.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2951994789 + ... + 2951995611.

Almost surely, 2^{2429492049600} is an apocalyptic number.

2429492049600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429492049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107492147200).

2429492049600 is an abundant number, since it is smaller than the sum of its proper divisors (7785492244800).

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

2429492049600 is a wasteful number, since it uses less digits than its factorization.

2429492049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 2429492049600 in words is "two trillion, four hundred twenty-nine billion, four hundred ninety-two million, forty-nine thousand, six hundred".