2512459728 has 160 divisors (see below), whose sum is σ = 7619194880. Its totient is φ = 791441280.

The previous prime is 2512459727. The next prime is 2512459751. The reversal of 2512459728 is 8279542152.

2512459728 is a `hidden beast` number, since 2 + 51 + 2 + 4 + 597 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512459727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573675 + ... + 578037.

It is an arithmetic number, because the mean of its divisors is an integer number (47619968).

Almost surely, 2^2512459728 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 2512459728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809597440).

2512459728 is an abundant number, since it is smaller than the sum of its proper divisors (5106735152).

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

2512459728 is a wasteful number, since it uses less digits than its factorization.

2512459728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4442 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 2512459728 is about 50124.4424208390. The cubic root of 2512459728 is about 1359.4597998752.

The spelling of 2512459728 in words is "two billion, five hundred twelve million, four hundred fifty-nine thousand, seven hundred twenty-eight".