2487585075264 has 63 divisors (see below), whose sum is σ = 7130321971357. Its totient is φ = 829182407424.

The previous prime is 2487585075259. The next prime is 2487585075289. The reversal of 2487585075264 is 4625705857842.

The square root of 2487585075264 is 1577208.

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

2487585075264 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 58 + 50 + 7 + 526 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 764645313600 + 1722939761664 = 874440^2 + 1312608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37820134 + ... + 37885850.

Almost surely, 2^{2487585075264} is an apocalyptic number.

2487585075264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2487585075264 is the 1577208-th square number.

It is an amenable number.

2487585075264 is an abundant number, since it is smaller than the sum of its proper divisors (4642736896093).

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

2487585075264 is an frugal number, since it uses more digits than its factorization.

2487585075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131452 (or 65722 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 2487585075264 in words is "two trillion, four hundred eighty-seven billion, five hundred eighty-five million, seventy-five thousand, two hundred sixty-four".