2251736484984 has 288 divisors, whose sum is σ = 7789626215280. Its totient is φ = 605508535296.

The previous prime is 2251736484983. The next prime is 2251736485007. The reversal of 2251736484984 is 4894846371522.

2251736484984 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 73 + 6 + 484 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251736484983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 924094 + ... + 2314610.

Almost surely, 2^{2251736484984} is an apocalyptic number.

2251736484984 is a gapful number since it is divisible by the number (24) 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 2251736484984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894813107640).

2251736484984 is an abundant number, since it is smaller than the sum of its proper divisors (5537889730296).

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

2251736484984 is a wasteful number, since it uses less digits than its factorization.

2251736484984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390569 (or 1390546 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 2251736484984 in words is "two trillion, two hundred fifty-one billion, seven hundred thirty-six million, four hundred eighty-four thousand, nine hundred eighty-four".