2385782981604 has 405 divisors, whose sum is σ = 7126482614251. Its totient is φ = 695439803520.

The previous prime is 2385782981597. The next prime is 2385782981611. The reversal of 2385782981604 is 4061892875832.

The square root of 2385782981604 is 1544598.

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

2385782981604 is a `hidden beast` number, since 2 + 38 + 578 + 29 + 8 + 1 + 6 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2385782981597) and next prime (2385782981611).

It can be written as a sum of positive squares in 4 ways, for example, as 551600319204 + 1834182662400 = 742698^2 + 1354320^2 .

It is a super-2 number, since 2×2385782981604² (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 134 ways as a sum of consecutive naturals, for example, 8869081582 + ... + 8869081850.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2385782981604 = 4771565963208, but 3⋅2385782981604 = 7157348944812 is not.

Almost surely, 2^{2385782981604} is an apocalyptic number.

2385782981604 is the 1544598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2385782981604

2385782981604 is an abundant number, since it is smaller than the sum of its proper divisors (4740699632647).

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

2385782981604 is a wasteful number, since it uses less digits than its factorization.

2385782981604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2385782981604 in words is "two trillion, three hundred eighty-five billion, seven hundred eighty-two million, nine hundred eighty-one thousand, six hundred four".