2503563348 has 192 divisors, whose sum is σ = 7460167680. Its totient is φ = 641779200.

The previous prime is 2503563347. The next prime is 2503563353. The reversal of 2503563348 is 8433653052.

It is a super-3 number, since 3×2503563348³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503563347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1009486 + ... + 1011962.

It is an arithmetic number, because the mean of its divisors is an integer number (38855040).

Almost surely, 2^2503563348 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 2503563348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730083840).

2503563348 is an abundant number, since it is smaller than the sum of its proper divisors (4956604332).

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

2503563348 is a wasteful number, since it uses less digits than its factorization.

2503563348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 2503563348 is about 50035.6207915921. The cubic root of 2503563348 is about 1357.8533298128.

The spelling of 2503563348 in words is "two billion, five hundred three million, five hundred sixty-three thousand, three hundred forty-eight".