2658047643904 has 243 divisors, whose sum is σ = 5819757690789. Its totient is φ = 1211416750080.

The previous prime is 2658047643877. The next prime is 2658047643973. The reversal of 2658047643904 is 4093467408562.

The square root of 2658047643904 is 1630352.

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

2658047643904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2417900601600 + 240147042304 = 1554960^2 + 490048^2 .

It is a super-2 number, since 2×2658047643904² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15364437162 + ... + 15364437334.

Almost surely, 2^{2658047643904} is an apocalyptic number.

2658047643904 is the 1630352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2658047643904

2658047643904 is an abundant number, since it is smaller than the sum of its proper divisors (3161710046885).

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

2658047643904 is an frugal number, since it uses more digits than its factorization.

2658047643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 2658047643904 in words is "two trillion, six hundred fifty-eight billion, forty-seven million, six hundred forty-three thousand, nine hundred four".