2457263381328 has 960 divisors, whose sum is σ = 9028222156800. Its totient is φ = 635150315520.

The previous prime is 2457263381317. The next prime is 2457263381381. The reversal of 2457263381328 is 8231833627542.

2457263381328 is a `hidden beast` number, since 2 + 4 + 57 + 263 + 3 + 8 + 1 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1862973853 + ... + 1862975171.

It is an arithmetic number, because the mean of its divisors is an integer number (9404398080).

Almost surely, 2^{2457263381328} is an apocalyptic number.

2457263381328 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 2457263381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514111078400).

2457263381328 is an abundant number, since it is smaller than the sum of its proper divisors (6570958775472).

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

2457263381328 is a wasteful number, since it uses less digits than its factorization.

2457263381328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1546 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 2457263381328 in words is "two trillion, four hundred fifty-seven billion, two hundred sixty-three million, three hundred eighty-one thousand, three hundred twenty-eight".