2523862936728 has 480 divisors, whose sum is σ = 8320364236800. Its totient is φ = 712640073600.

The previous prime is 2523862936717. The next prime is 2523862936741. The reversal of 2523862936728 is 8276392683252.

2523862936728 is a `hidden beast` number, since 2 + 523 + 8 + 6 + 2 + 9 + 36 + 72 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 119 ways as a sum of consecutive naturals, for example, 1127226633 + ... + 1127228871.

It is an arithmetic number, because the mean of its divisors is an integer number (17334092160).

Almost surely, 2^{2523862936728} is an apocalyptic number.

2523862936728 is a gapful number since it is divisible by the number (28) 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 2523862936728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160182118400).

2523862936728 is an abundant number, since it is smaller than the sum of its proper divisors (5796501300072).

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

2523862936728 is a wasteful number, since it uses less digits than its factorization.

2523862936728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2653 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 2523862936728 in words is "two trillion, five hundred twenty-three billion, eight hundred sixty-two million, nine hundred thirty-six thousand, seven hundred twenty-eight".