2406401382564 has 189 divisors, whose sum is σ = 6605657664753. Its totient is φ = 766644113664.

The previous prime is 2406401382521. The next prime is 2406401382589. The reversal of 2406401382564 is 4652831046042.

The square root of 2406401382564 is 1551258.

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

2406401382564 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 4 + 0 + 1 + 3 + 82 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 984774400164 + 1421626982400 = 992358^2 + 1192320^2 .

It is a super-2 number, since 2×2406401382564² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1926661812 + ... + 1926663060.

Almost surely, 2^{2406401382564} is an apocalyptic number.

2406401382564 is the 1551258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406401382564

2406401382564 is an abundant number, since it is smaller than the sum of its proper divisors (4199256282189).

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

2406401382564 is an frugal number, since it uses more digits than its factorization.

2406401382564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2406401382564 in words is "two trillion, four hundred six billion, four hundred one million, three hundred eighty-two thousand, five hundred sixty-four".