2698994693664 has 144 divisors (see below), whose sum is σ = 7960597418592. Its totient is φ = 899544849408.

The previous prime is 2698994693627. The next prime is 2698994693677. The reversal of 2698994693664 is 4663964998962.

2698994693664 is a `hidden beast` number, since 2 + 6 + 9 + 8 + 99 + 469 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73099272 + ... + 73136184.

It is an arithmetic number, because the mean of its divisors is an integer number (55281926518).

Almost surely, 2^{2698994693664} is an apocalyptic number.

2698994693664 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 2698994693664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980298709296).

2698994693664 is an abundant number, since it is smaller than the sum of its proper divisors (5261602724928).

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

2698994693664 is an equidigital number, since it uses as much as digits as its factorization.

2698994693664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46341 (or 46321 counting only the distinct ones).

The product of its digits is 6530347008, while the sum is 81.

The spelling of 2698994693664 in words is "two trillion, six hundred ninety-eight billion, nine hundred ninety-four million, six hundred ninety-three thousand, six hundred sixty-four".