2039492459664 has 405 divisors, whose sum is σ = 6501341248857. Its totient is φ = 596377900800.

The previous prime is 2039492459629. The next prime is 2039492459707. The reversal of 2039492459664 is 4669542949302.

The square root of 2039492459664 is 1428108.

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

2039492459664 is a `hidden beast` number, since 2 + 0 + 3 + 94 + 92 + 459 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1496971826064 + 542520633600 = 1223508^2 + 736560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5843817762 + ... + 5843818110.

Almost surely, 2^{2039492459664} is an apocalyptic number.

2039492459664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2039492459664 is the 1428108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2039492459664

2039492459664 is an abundant number, since it is smaller than the sum of its proper divisors (4461848789193).

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

2039492459664 is a wasteful number, since it uses less digits than its factorization.

2039492459664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 2039492459664 in words is "two trillion, thirty-nine billion, four hundred ninety-two million, four hundred fifty-nine thousand, six hundred sixty-four".