2539628784 has 240 divisors, whose sum is σ = 8909072640. Its totient is φ = 656087040.

The previous prime is 2539628753. The next prime is 2539628801. The reversal of 2539628784 is 4878269352.

2539628784 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 628 + 7 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2539628784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2516472 + ... + 2517480.

It is an arithmetic number, because the mean of its divisors is an integer number (37121136).

Almost surely, 2^2539628784 is an apocalyptic number.

2539628784 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 2539628784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454536320).

2539628784 is an abundant number, since it is smaller than the sum of its proper divisors (6369443856).

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

2539628784 is a wasteful number, since it uses less digits than its factorization.

2539628784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1259 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2539628784 is about 50394.7297244464. The cubic root of 2539628784 is about 1364.3425179616.

The spelling of 2539628784 in words is "two billion, five hundred thirty-nine million, six hundred twenty-eight thousand, seven hundred eighty-four".