2429726580720 has 640 divisors, whose sum is σ = 8679444480000. Its totient is φ = 624339394560.

The previous prime is 2429726580613. The next prime is 2429726580773. The reversal of 2429726580720 is 270856279242.

2429726580720 is a `hidden beast` number, since 2 + 429 + 72 + 6 + 5 + 80 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3925244571 + ... + 3925245189.

It is an arithmetic number, because the mean of its divisors is an integer number (13561632000).

Almost surely, 2^{2429726580720} is an apocalyptic number.

2429726580720 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 2429726580720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339722240000).

2429726580720 is an abundant number, since it is smaller than the sum of its proper divisors (6249717899280).

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

2429726580720 is a wasteful number, since it uses less digits than its factorization.

2429726580720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2429726580720 in words is "two trillion, four hundred twenty-nine billion, seven hundred twenty-six million, five hundred eighty thousand, seven hundred twenty".