2429702764720 has 320 divisors, whose sum is σ = 7736007720960. Its totient is φ = 686257228800.

The previous prime is 2429702764691. The next prime is 2429702764733. The reversal of 2429702764720 is 274672079242.

2429702764720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2240625 + ... + 3143215.

It is an arithmetic number, because the mean of its divisors is an integer number (24175024128).

Almost surely, 2^{2429702764720} is an apocalyptic number.

2429702764720 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 2429702764720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868003860480).

2429702764720 is an abundant number, since it is smaller than the sum of its proper divisors (5306304956240).

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

2429702764720 is a wasteful number, since it uses less digits than its factorization.

2429702764720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902664 (or 902658 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 52.

The spelling of 2429702764720 in words is "two trillion, four hundred twenty-nine billion, seven hundred two million, seven hundred sixty-four thousand, seven hundred twenty".