2653680000 has 160 divisors (see below), whose sum is σ = 8809023960. Its totient is φ = 707584000.

The previous prime is 2653679953. The next prime is 2653680031. The reversal of 2653680000 is 863562.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×2653680000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2653680000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234472 + ... + 245528.

Almost surely, 2^2653680000 is an apocalyptic number.

2653680000 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 2653680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404511980).

2653680000 is an abundant number, since it is smaller than the sum of its proper divisors (6155343960).

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

2653680000 is an equidigital number, since it uses as much as digits as its factorization.

2653680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2653680000 is about 51513.8816242768. The cubic root of 2653680000 is about 1384.4677715381.

The spelling of 2653680000 in words is "two billion, six hundred fifty-three million, six hundred eighty thousand".