2493600782500 has 60 divisors (see below), whose sum is σ = 5454633755340. Its totient is φ = 997142608000.

The previous prime is 2493600782467. The next prime is 2493600782501. The reversal of 2493600782500 is 52870063942.

It can be written as a sum of positive squares in 10 ways, for example, as 1590564902976 + 903035879524 = 1261176^2 + 950282^2 .

It is a super-2 number, since 2×2493600782500² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2493600782501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8325342 + ... + 8619658.

It is an arithmetic number, because the mean of its divisors is an integer number (90910562589).

Almost surely, 2^{2493600782500} is an apocalyptic number.

2493600782500 is a gapful number since it is divisible by the number (20) 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 2493600782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727316877670).

2493600782500 is an abundant number, since it is smaller than the sum of its proper divisors (2961032972840).

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

2493600782500 is a wasteful number, since it uses less digits than its factorization.

2493600782500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297730 (or 297713 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

It can be divided in two parts, 2493600 and 782500, that added together give a square (3276100 = 1810²).

The spelling of 2493600782500 in words is "two trillion, four hundred ninety-three billion, six hundred million, seven hundred eighty-two thousand, five hundred".