2618490330625 has 75 divisors (see below), whose sum is σ = 3554007426233. Its totient is φ = 1928605692000.

The previous prime is 2618490330613. The next prime is 2618490330641. The reversal of 2618490330625 is 5260330948162.

The square root of 2618490330625 is 1618175.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 12 ways, for example, as 614657568001 + 2003832762624 = 784001^2 + 1415568^2 .

It is not a de Polignac number, because 2618490330625 - 2¹¹ = 2618490328577 is a prime.

It is a super-2 number, since 2×2618490330625² (a number of 26 digits) contains 22 as substring.

It is a Duffinian 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 74 ways as a sum of consecutive naturals, for example, 6836789184 + ... + 6836789566.

Almost surely, 2^{2618490330625} is an apocalyptic number.

2618490330625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2618490330625 is the 1618175-th square number.

2618490330625 is the 809088-th centered octagonal number.

It is an amenable number.

2618490330625 is a deficient number, since it is larger than the sum of its proper divisors (935517095608).

2618490330625 is an frugal number, since it uses more digits than its factorization.

2618490330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 2618490330625 by its sum of digits (49), we get a square (128306026200625 = 11327225²).

The spelling of 2618490330625 in words is "two trillion, six hundred eighteen billion, four hundred ninety million, three hundred thirty thousand, six hundred twenty-five".