2689047362304 has 216 divisors, whose sum is σ = 8049375181120. Its totient is φ = 895342076928.

The previous prime is 2689047362297. The next prime is 2689047362311. The reversal of 2689047362304 is 4032637409862.

2689047362304 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 0 + 4 + 7 + 3 + 623 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2689047362297) and next prime (2689047362311).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×2689047362304³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56398827 + ... + 56446485.

Almost surely, 2^{2689047362304} is an apocalyptic number.

2689047362304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689047362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024687590560).

2689047362304 is an abundant number, since it is smaller than the sum of its proper divisors (5360327818816).

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

2689047362304 is an frugal number, since it uses more digits than its factorization.

2689047362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48597 (or 48571 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2689047362304 in words is "two trillion, six hundred eighty-nine billion, forty-seven million, three hundred sixty-two thousand, three hundred four".