2653534080 has 320 divisors, whose sum is σ = 10037008080. Its totient is φ = 665763840.

The previous prime is 2653534073. The next prime is 2653534157. The reversal of 2653534080 is 804353562.

It is a happy number.

2653534080 is a `hidden beast` number, since 2 + 6 + 535 + 3 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2653534080² = 14082486227442892800, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879775 + ... + 882785.

Almost surely, 2^2653534080 is an apocalyptic number.

2653534080 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 2653534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018504040).

2653534080 is an abundant number, since it is smaller than the sum of its proper divisors (7383474000).

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

2653534080 is a wasteful number, since it uses less digits than its factorization.

2653534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2653534080 is about 51512.4652875399. The cubic root of 2653534080 is about 1384.4423947983.

The spelling of 2653534080 in words is "two billion, six hundred fifty-three million, five hundred thirty-four thousand, eighty".