2690686128384 has 360 divisors, whose sum is σ = 8420622420672. Its totient is φ = 852914810880.

The previous prime is 2690686128367. The next prime is 2690686128461. The reversal of 2690686128384 is 4838216860962.

2690686128384 is a `hidden beast` number, since 2 + 6 + 9 + 0 + 6 + 8 + 612 + 8 + 3 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82492239 + ... + 82524849.

Almost surely, 2^{2690686128384} is an apocalyptic number.

2690686128384 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 2690686128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210311210336).

2690686128384 is an abundant number, since it is smaller than the sum of its proper divisors (5729936292288).

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

2690686128384 is a wasteful number, since it uses less digits than its factorization.

2690686128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32835 (or 32812 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2690686128384 in words is "two trillion, six hundred ninety billion, six hundred eighty-six million, one hundred twenty-eight thousand, three hundred eighty-four".