2429138101236 has 288 divisors, whose sum is σ = 7366164406272. Its totient is φ = 615809698560.

The previous prime is 2429138101223. The next prime is 2429138101241. The reversal of 2429138101236 is 6321018319242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111555646 + ... + 111577418.

It is an arithmetic number, because the mean of its divisors is an integer number (25576959744).

Almost surely, 2^{2429138101236} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429138101236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683082203136).

2429138101236 is an abundant number, since it is smaller than the sum of its proper divisors (4937026305036).

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

2429138101236 is a wasteful number, since it uses less digits than its factorization.

2429138101236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22219 (or 22210 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2429138101236 in words is "two trillion, four hundred twenty-nine billion, one hundred thirty-eight million, one hundred one thousand, two hundred thirty-six".