2457093657816 has 512 divisors, whose sum is σ = 8591007744000. Its totient is φ = 634509158400.

The previous prime is 2457093657659. The next prime is 2457093657853. The reversal of 2457093657816 is 6187563907542.

2457093657816 is a `hidden beast` number, since 2 + 4 + 57 + 0 + 9 + 3 + 6 + 578 + 1 + 6 = 666.

It is a super-2 number, since 2×2457093657816² (a number of 26 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 104372175 + ... + 104395713.

It is an arithmetic number, because the mean of its divisors is an integer number (16779312000).

It is a 1-persistent number, because it is pandigital, but 2⋅2457093657816 = 4914187315632 is not.

Almost surely, 2^{2457093657816} 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 2457093657816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295503872000).

2457093657816 is an abundant number, since it is smaller than the sum of its proper divisors (6133914086184).

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

2457093657816 is a wasteful number, since it uses less digits than its factorization.

2457093657816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23740 (or 23730 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 2457093657816 in words is "two trillion, four hundred fifty-seven billion, ninety-three million, six hundred fifty-seven thousand, eight hundred sixteen".