2689298248464 has 75 divisors (see below), whose sum is σ = 7783780232613. Its totient is φ = 896413070592.

The previous prime is 2689298248459. The next prime is 2689298248471. The reversal of 2689298248464 is 4648428929862.

The square root of 2689298248464 is 1639908.

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

2689298248464 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 2 + 9 + 82 + 484 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2088660848400 + 600637400064 = 1445220^2 + 775008^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2689298248392 and 2689298248401.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 59013912 + ... + 59059464.

Almost surely, 2^{2689298248464} is an apocalyptic number.

2689298248464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2689298248464 is the 1639908-th square number.

It is an amenable number.

2689298248464 is an abundant number, since it is smaller than the sum of its proper divisors (5094481984149).

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

2689298248464 is an frugal number, since it uses more digits than its factorization.

2689298248464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91126 (or 45558 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 2689298248464 in words is "two trillion, six hundred eighty-nine billion, two hundred ninety-eight million, two hundred forty-eight thousand, four hundred sixty-four".