2251528047360 has 576 divisors, whose sum is σ = 8132715601920. Its totient is φ = 597122150400.

The previous prime is 2251528047323. The next prime is 2251528047361. The reversal of 2251528047360 is 637408251522.

2251528047360 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 5 + 280 + 4 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2251528047361) 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, 534675655 + ... + 534679865.

It is an arithmetic number, because the mean of its divisors is an integer number (14119297920).

Almost surely, 2^{2251528047360} is an apocalyptic number.

2251528047360 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 2251528047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066357800960).

2251528047360 is an abundant number, since it is smaller than the sum of its proper divisors (5881187554560).

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

2251528047360 is an frugal number, since it uses more digits than its factorization.

2251528047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2251528047360 in words is "two trillion, two hundred fifty-one billion, five hundred twenty-eight million, forty-seven thousand, three hundred sixty".