2015012245752 has 384 divisors, whose sum is σ = 6495207264000. Its totient is φ = 579551293440.

The previous prime is 2015012245703. The next prime is 2015012245787. The reversal of 2015012245752 is 2575422105102.

2015012245752 is a `hidden beast` number, since 2 + 0 + 1 + 50 + 12 + 24 + 575 + 2 = 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36560488 + ... + 36615560.

It is an arithmetic number, because the mean of its divisors is an integer number (16914602250).

Almost surely, 2^{2015012245752} is an apocalyptic number.

2015012245752 is a gapful number since it is divisible by the number (22) 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 2015012245752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247603632000).

2015012245752 is an abundant number, since it is smaller than the sum of its proper divisors (4480195018248).

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

2015012245752 is a wasteful number, since it uses less digits than its factorization.

2015012245752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55193 (or 55177 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 2015012245752 in words is "two trillion, fifteen billion, twelve million, two hundred forty-five thousand, seven hundred fifty-two".