2523061728 has 288 divisors, whose sum is σ = 8438556672. Its totient is φ = 707097600.

The previous prime is 2523061727. The next prime is 2523061729. The reversal of 2523061728 is 8271603252.

2523061728 is a `hidden beast` number, since 2 + 5 + 2 + 30 + 617 + 2 + 8 = 666.

2523061728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2523061727) and next prime (2523061729).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2523061692 and 2523061701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523061727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258226 + ... + 2259342.

It is an arithmetic number, because the mean of its divisors is an integer number (29300544).

Almost surely, 2^2523061728 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 2523061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219278336).

2523061728 is an abundant number, since it is smaller than the sum of its proper divisors (5915494944).

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

2523061728 is a wasteful number, since it uses less digits than its factorization.

2523061728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2523061728 is about 50230.0878756946. The cubic root of 2523061728 is about 1361.3693186447.

The spelling of 2523061728 in words is "two billion, five hundred twenty-three million, sixty-one thousand, seven hundred twenty-eight".