2803253760 has 360 divisors, whose sum is σ = 10337631876. Its totient is φ = 701890560.

The previous prime is 2803253741. The next prime is 2803253773. The reversal of 2803253760 is 673523082.

2803253760 is a `hidden beast` number, since 280 + 3 + 2 + 5 + 376 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1031180544 + 1772073216 = 32112^2 + 42096^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6658350 + ... + 6658770.

Almost surely, 2^2803253760 is an apocalyptic number.

2803253760 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 2803253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168815938).

2803253760 is an abundant number, since it is smaller than the sum of its proper divisors (7534378116).

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

2803253760 is a wasteful number, since it uses less digits than its factorization.

2803253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2803253760 is about 52945.7624366672. The cubic root of 2803253760 is about 1410.0054926601.

The spelling of 2803253760 in words is "two billion, eight hundred three million, two hundred fifty-three thousand, seven hundred sixty".