2803138560 has 192 divisors, whose sum is σ = 9722510460. Its totient is φ = 747110400.

The previous prime is 2803138531. The next prime is 2803138577. The reversal of 2803138560 is 658313082.

2803138560 is a `hidden beast` number, since 2 + 80 + 3 + 13 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2530492416 + 272646144 = 50304^2 + 16512^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2803138560³ (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1473610 + ... + 1475510.

Almost surely, 2^2803138560 is an apocalyptic number.

2803138560 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 2803138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861255230).

2803138560 is an abundant number, since it is smaller than the sum of its proper divisors (6919371900).

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

2803138560 is an equidigital number, since it uses as much as digits as its factorization.

2803138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2803138560 is about 52944.6745197286. The cubic root of 2803138560 is about 1409.9861776222.

The spelling of 2803138560 in words is "two billion, eight hundred three million, one hundred thirty-eight thousand, five hundred sixty".