2689480718496 has 216 divisors, whose sum is σ = 9053382641940. Its totient is φ = 752302172160.

The previous prime is 2689480718447. The next prime is 2689480718531. The reversal of 2689480718496 is 6948170849862.

2689480718496 is a `hidden beast` number, since 2 + 6 + 89 + 48 + 0 + 7 + 18 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2689062106896 + 418611600 = 1639836^2 + 20460^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2515341 + ... + 3421388.

Almost surely, 2^{2689480718496} is an apocalyptic number.

2689480718496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2689480718496 is an abundant number, since it is smaller than the sum of its proper divisors (6363901923444).

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

2689480718496 is a wasteful number, since it uses less digits than its factorization.

2689480718496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936780 (or 5936758 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 2689480718496 in words is "two trillion, six hundred eighty-nine billion, four hundred eighty million, seven hundred eighteen thousand, four hundred ninety-six".