2029818742224 has 160 divisors (see below), whose sum is σ = 6454650875904. Its totient is φ = 535264796160.

The previous prime is 2029818742219. The next prime is 2029818742253. The reversal of 2029818742224 is 4222478189202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37638319 + ... + 37692209.

Almost surely, 2^{2029818742224} is an apocalyptic number.

2029818742224 is a gapful number since it is divisible by the number (24) 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 2029818742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227325437952).

2029818742224 is an abundant number, since it is smaller than the sum of its proper divisors (4424832133680).

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

2029818742224 is a wasteful number, since it uses less digits than its factorization.

2029818742224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62545 (or 62539 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 2029818742224 in words is "two trillion, twenty-nine billion, eight hundred eighteen million, seven hundred forty-two thousand, two hundred twenty-four".