2697984000 has 288 divisors, whose sum is σ = 9733061520. Its totient is φ = 718848000.

The previous prime is 2697983989. The next prime is 2697984007. The reversal of 2697984000 is 4897962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2697984007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303415 + ... + 2304585.

Almost surely, 2^2697984000 is an apocalyptic number.

2697984000 is a gapful number since it is divisible by the number (20) 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 2697984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866530760).

2697984000 is an abundant number, since it is smaller than the sum of its proper divisors (7035077520).

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

2697984000 is a wasteful number, since it uses less digits than its factorization.

2697984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2697984000 is about 51942.1216355281. The cubic root of 2697984000 is about 1392.1299918239.

The spelling of 2697984000 in words is "two billion, six hundred ninety-seven million, nine hundred eighty-four thousand".