2501344000 has 72 divisors (see below), whose sum is σ = 6231240288. Its totient is φ = 1000524800.

The previous prime is 2501343997. The next prime is 2501344003. The reversal of 2501344000 is 4431052.

It is an interprime number because it is at equal distance from previous prime (2501343997) and next prime (2501344003).

It is not an unprimeable number, because it can be changed into a prime (2501344003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7084 + ... + 71083.

It is an arithmetic number, because the mean of its divisors is an integer number (86545004).

Almost surely, 2^2501344000 is an apocalyptic number.

2501344000 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 2501344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115620144).

2501344000 is an abundant number, since it is smaller than the sum of its proper divisors (3729896288).

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

2501344000 is an frugal number, since it uses more digits than its factorization.

2501344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78198 (or 78174 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2501344000 is about 50013.4381941494. The cubic root of 2501344000 is about 1357.4519765454.

Adding to 2501344000 its reverse (4431052), we get a palindrome (2505775052).

The spelling of 2501344000 in words is "two billion, five hundred one million, three hundred forty-four thousand".