2251514243160 has 1152 divisors, whose sum is σ = 9663922719360. Its totient is φ = 442522828800.

The previous prime is 2251514243149. The next prime is 2251514243183. The reversal of 2251514243160 is 613424151522.

2251514243160 is a `hidden beast` number, since 2 + 2 + 51 + 514 + 2 + 4 + 31 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 721406400 + ... + 721409520.

It is an arithmetic number, because the mean of its divisors is an integer number (8388821805).

Almost surely, 2^{2251514243160} is an apocalyptic number.

2251514243160 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 2251514243160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831961359680).

2251514243160 is an abundant number, since it is smaller than the sum of its proper divisors (7412408476200).

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

2251514243160 is a wasteful number, since it uses less digits than its factorization.

2251514243160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 2251514243160 its reverse (613424151522), we get a palindrome (2864938394682).

The spelling of 2251514243160 in words is "two trillion, two hundred fifty-one billion, five hundred fourteen million, two hundred forty-three thousand, one hundred sixty".