2251610316450 has 288 divisors, whose sum is σ = 6894462744000. Its totient is φ = 521801280000.

The previous prime is 2251610316379. The next prime is 2251610316457. The reversal of 2251610316450 is 546130161522.

2251610316450 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 6 + 1 + 0 + 3 + 1 + 645 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2251610316457) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14420901 + ... + 14576199.

It is an arithmetic number, because the mean of its divisors is an integer number (23939106750).

Almost surely, 2^{2251610316450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251610316450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447231372000).

2251610316450 is an abundant number, since it is smaller than the sum of its proper divisors (4642852427550).

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

2251610316450 is a wasteful number, since it uses less digits than its factorization.

2251610316450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155458 (or 155450 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 2251610316450 its reverse (546130161522), we get a palindrome (2797740477972).

The spelling of 2251610316450 in words is "two trillion, two hundred fifty-one billion, six hundred ten million, three hundred sixteen thousand, four hundred fifty".