2251221352000 has 56 divisors (see below), whose sum is σ = 5575149698040. Its totient is φ = 900488537600.

The previous prime is 2251221351983. The next prime is 2251221352013. The reversal of 2251221352000 is 2531221522.

It can be written as a sum of positive squares in 4 ways, for example, as 18635526144 + 2232585825856 = 136512^2 + 1494184^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140693335 + ... + 140709334.

Almost surely, 2^{2251221352000} is an apocalyptic number.

2251221352000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251221352000 is an abundant number, since it is smaller than the sum of its proper divisors (3323928346040).

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

2251221352000 is an equidigital number, since it uses as much as digits as its factorization.

2251221352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281402696 (or 281402676 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 2251221352000 its reverse (2531221522), we get a palindrome (2253752573522).

The spelling of 2251221352000 in words is "two trillion, two hundred fifty-one billion, two hundred twenty-one million, three hundred fifty-two thousand".