2251784304252 has 192 divisors, whose sum is σ = 6758701465600. Its totient is φ = 635007522240.

The previous prime is 2251784304181. The next prime is 2251784304257. The reversal of 2251784304252 is 2524034871522.

2251784304252 is a `hidden beast` number, since 2 + 2 + 5 + 17 + 84 + 304 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2251784304198 and 2251784304207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251784304257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274905477 + ... + 274913667.

Almost surely, 2^{2251784304252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251784304252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379350732800).

2251784304252 is an abundant number, since it is smaller than the sum of its proper divisors (4506917161348).

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

2251784304252 is a wasteful number, since it uses less digits than its factorization.

2251784304252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893 (or 12885 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 2251784304252 in words is "two trillion, two hundred fifty-one billion, seven hundred eighty-four million, three hundred four thousand, two hundred fifty-two".