2042469722500 has 135 divisors (see below), whose sum is σ = 4527129864873. Its totient is φ = 806040600000.

The previous prime is 2042469722479. The next prime is 2042469722507. The reversal of 2042469722500 is 52279642402.

It is a happy number.

The square root of 2042469722500 is 1429150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 440787110724 + 1601682611776 = 663918^2 + 1265576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2042469722507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7217207359 + ... + 7217207641.

Almost surely, 2^{2042469722500} is an apocalyptic number.

2042469722500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2042469722500 is the 1429150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042469722500

2042469722500 is an abundant number, since it is smaller than the sum of its proper divisors (2484660142373).

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

2042469722500 is an frugal number, since it uses more digits than its factorization.

2042469722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 2042469722500 in words is "two trillion, forty-two billion, four hundred sixty-nine million, seven hundred twenty-two thousand, five hundred".