2653884000 has 240 divisors, whose sum is σ = 9741828096. Its totient is φ = 707616000.

The previous prime is 2653883971. The next prime is 2653884001. The reversal of 2653884000 is 4883562.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2653884000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653884001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319905 + ... + 328095.

Almost surely, 2^2653884000 is an apocalyptic number.

2653884000 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 2653884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870914048).

2653884000 is an abundant number, since it is smaller than the sum of its proper divisors (7087944096).

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

2653884000 is an equidigital number, since it uses as much as digits as its factorization.

2653884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2653884000 is about 51515.8616350343. The cubic root of 2653884000 is about 1384.5032473287.

The spelling of 2653884000 in words is "two billion, six hundred fifty-three million, eight hundred eighty-four thousand".