2241038940100 has 81 divisors (see below), whose sum is σ = 5133127296717. Its totient is φ = 849128024160.

The previous prime is 2241038940067. The next prime is 2241038940121. The reversal of 2241038940100 is 10498301422.

The square root of 2241038940100 is 1497010.

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

It can be written as a sum of positive squares in only one way, i.e., 806774018436 + 1434264921664 = 898206^2 + 1197608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284427961 + ... + 284435839.

Almost surely, 2^{2241038940100} is an apocalyptic number.

2241038940100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2241038940100 is the 1497010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241038940100

2241038940100 is an abundant number, since it is smaller than the sum of its proper divisors (2892088356617).

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

2241038940100 is an frugal number, since it uses more digits than its factorization.

2241038940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15810 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 2241038940100 in words is "two trillion, two hundred forty-one billion, thirty-eight million, nine hundred forty thousand, one hundred".