2261663550321 has 32 divisors (see below), whose sum is σ = 3448939253760. Its totient is φ = 1291406543616.

The previous prime is 2261663550313. The next prime is 2261663550407. The reversal of 2261663550321 is 1230553661622.

It is a happy number.

It is not a de Polignac number, because 2261663550321 - 2³ = 2261663550313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2261663550301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203986840 + ... + 203997926.

It is an arithmetic number, because the mean of its divisors is an integer number (107779351680).

Almost surely, 2^{2261663550321} is an apocalyptic number.

2261663550321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2261663550321 is a deficient number, since it is larger than the sum of its proper divisors (1187275703439).

2261663550321 is a wasteful number, since it uses less digits than its factorization.

2261663550321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17533.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 2261663550321 in words is "two trillion, two hundred sixty-one billion, six hundred sixty-three million, five hundred fifty thousand, three hundred twenty-one".