2015102452224 has 320 divisors, whose sum is σ = 5608167840000. Its totient is φ = 642188574720.

The previous prime is 2015102452217. The next prime is 2015102452289. The reversal of 2015102452224 is 4222542015102.

It is a junction number, because it is equal to n+sod(n) for n = 2015102452191 and 2015102452200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490855532 + ... + 2490856340.

It is an arithmetic number, because the mean of its divisors is an integer number (17525524500).

Almost surely, 2^{2015102452224} is an apocalyptic number.

2015102452224 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 2015102452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804083920000).

2015102452224 is an abundant number, since it is smaller than the sum of its proper divisors (3593065387776).

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

2015102452224 is a wasteful number, since it uses less digits than its factorization.

2015102452224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2015102452224 its reverse (4222542015102), we get a palindrome (6237644467326).

The spelling of 2015102452224 in words is "two trillion, fifteen billion, one hundred two million, four hundred fifty-two thousand, two hundred twenty-four".