2468986748928 has 912 divisors, whose sum is σ = 8702325340800. Its totient is φ = 699182088192.

The previous prime is 2468986748923. The next prime is 2468986748953. The reversal of 2468986748928 is 8298476898642.

2468986748928 is a `hidden beast` number, since 2 + 46 + 8 + 98 + 6 + 7 + 489 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468986748923) 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, 21849440200 + ... + 21849440312.

It is an arithmetic number, because the mean of its divisors is an integer number (9542023400).

Almost surely, 2^{2468986748928} is an apocalyptic number.

2468986748928 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 2468986748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351162670400).

2468986748928 is an abundant number, since it is smaller than the sum of its proper divisors (6233338591872).

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

2468986748928 is an frugal number, since it uses more digits than its factorization.

2468986748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 125 counting only the distinct ones).

The product of its digits is 5350883328, while the sum is 81.

The spelling of 2468986748928 in words is "two trillion, four hundred sixty-eight billion, nine hundred eighty-six million, seven hundred forty-eight thousand, nine hundred twenty-eight".