2466306920704 has 81 divisors (see below), whose sum is σ = 5411815736439. Its totient is φ = 1120922964480.

The previous prime is 2466306920669. The next prime is 2466306920729. The reversal of 2466306920704 is 4070296036642.

The square root of 2466306920704 is 1570448.

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

It is a super-2 number, since 2×2466306920704² (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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 276394387 + ... + 276403309.

Almost surely, 2^{2466306920704} is an apocalyptic number.

2466306920704 is the 1570448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2466306920704

2466306920704 is an abundant number, since it is smaller than the sum of its proper divisors (2945508815735).

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

2466306920704 is an frugal number, since it uses more digits than its factorization.

2466306920704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17884 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

Multiplying 2466306920704 by its sum of digits (49), we get a square (120849039114496 = 10993136²).

The spelling of 2466306920704 in words is "two trillion, four hundred sixty-six billion, three hundred six million, nine hundred twenty thousand, seven hundred four".