2015007456 has 192 divisors, whose sum is σ = 6942136320. Its totient is φ = 495797760.

The previous prime is 2015007431. The next prime is 2015007473. The reversal of 2015007456 is 6547005102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133275 + ... + 147621.

It is an arithmetic number, because the mean of its divisors is an integer number (36156960).

Almost surely, 2^2015007456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2015007456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471068160).

2015007456 is an abundant number, since it is smaller than the sum of its proper divisors (4927128864).

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

2015007456 is a wasteful number, since it uses less digits than its factorization.

2015007456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14397 (or 14389 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2015007456 is about 44888.8344246094. The cubic root of 2015007456 is about 1263.0645685406.

The spelling of 2015007456 in words is "two billion, fifteen million, seven thousand, four hundred fifty-six".