2803758048 has 864 divisors, whose sum is σ = 11293551360. Its totient is φ = 650280960.

The previous prime is 2803758043. The next prime is 2803758103. The reversal of 2803758048 is 8408573082.

2803758048 is a `hidden beast` number, since 28 + 0 + 3 + 7 + 580 + 48 = 666.

It is a super-2 number, since 2×2803758048² = 15722118383449540608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2803757994 and 2803758012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2803758043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90443793 + ... + 90443823.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^2803758048 is an apocalyptic number.

2803758048 is a gapful number since it is divisible by the number (28) 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 2803758048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

2803758048 is an abundant number, since it is smaller than the sum of its proper divisors (8489793312).

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

2803758048 is a wasteful number, since it uses less digits than its factorization.

2803758048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2803758048 is about 52950.5245299799. The cubic root of 2803758048 is about 1410.0900380107.

The spelling of 2803758048 in words is "two billion, eight hundred three million, seven hundred fifty-eight thousand, forty-eight".