2251665320100 has 144 divisors (see below), whose sum is σ = 7456574498688. Its totient is φ = 513901301760.

The previous prime is 2251665320017. The next prime is 2251665320129. The reversal of 2251665320100 is 10235661522.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616702 + ... + 2209898.

It is an arithmetic number, because the mean of its divisors is an integer number (51781767352).

Almost surely, 2^{2251665320100} is an apocalyptic number.

2251665320100 is a gapful number since it is divisible by the number (20) 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 2251665320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728287249344).

2251665320100 is an abundant number, since it is smaller than the sum of its proper divisors (5204909178588).

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

2251665320100 is a wasteful number, since it uses less digits than its factorization.

2251665320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593894 (or 1593887 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 2251665320100 in words is "two trillion, two hundred fifty-one billion, six hundred sixty-five million, three hundred twenty thousand, one hundred".