2442514500 has 168 divisors, whose sum is σ = 7999212312. Its totient is φ = 651240000.

The previous prime is 2442514489. The next prime is 2442514517. The reversal of 2442514500 is 54152442.

It can be written as a sum of positive squares in 4 ways, for example, as 163788804 + 2278725696 = 12798^2 + 47736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 361150 + ... + 367850.

It is an arithmetic number, because the mean of its divisors is an integer number (47614359).

Almost surely, 2^2442514500 is an apocalyptic number.

2442514500 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 2442514500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999606156).

2442514500 is an abundant number, since it is smaller than the sum of its proper divisors (5556697812).

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

2442514500 is an equidigital number, since it uses as much as digits as its factorization.

2442514500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2442514500 is about 49421.8018692156. The cubic root of 2442514500 is about 1346.7253967731.

Adding to 2442514500 its reverse (54152442), we get a palindrome (2496666942).

The spelling of 2442514500 in words is "two billion, four hundred forty-two million, five hundred fourteen thousand, five hundred".