2503249920 has 312 divisors, whose sum is σ = 9016128576. Its totient is φ = 666206208.

The previous prime is 2503249909. The next prime is 2503249921. The reversal of 2503249920 is 299423052.

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

It is not an unprimeable number, because it can be changed into a prime (2503249921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976389 + ... + 4976891.

It is an arithmetic number, because the mean of its divisors is an integer number (28897848).

Almost surely, 2^2503249920 is an apocalyptic number.

2503249920 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 2503249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508064288).

2503249920 is an abundant number, since it is smaller than the sum of its proper divisors (6512878656).

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

2503249920 is an frugal number, since it uses more digits than its factorization.

2503249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2503249920 is about 50032.4886448795. The cubic root of 2503249920 is about 1357.7966629803.

The spelling of 2503249920 in words is "two billion, five hundred three million, two hundred forty-nine thousand, nine hundred twenty".