2803751264 has 72 divisors (see below), whose sum is σ = 5865373080. Its totient is φ = 1319058432.

The previous prime is 2803751243. The next prime is 2803751273. The reversal of 2803751264 is 4621573082.

It is a happy number.

2803751264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2803751264² = 15722042300763195392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 1882232 + ... + 1883720.

It is an arithmetic number, because the mean of its divisors is an integer number (81463515).

Almost surely, 2^2803751264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2803751264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932686540).

2803751264 is an abundant number, since it is smaller than the sum of its proper divisors (3061621816).

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

2803751264 is a wasteful number, since it uses less digits than its factorization.

2803751264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 2803751264 is about 52950.4604701413. The cubic root of 2803751264 is about 1410.0889007207.

The spelling of 2803751264 in words is "two billion, eight hundred three million, seven hundred fifty-one thousand, two hundred sixty-four".