2418750720 has 360 divisors, whose sum is σ = 8881404840. Its totient is φ = 628162560.

The previous prime is 2418750703. The next prime is 2418750721. The reversal of 2418750720 is 270578142.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 2368963584 = 7056^2 + 48672^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2418750721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4250596 + ... + 4251164.

It is an arithmetic number, because the mean of its divisors is an integer number (24670569).

Almost surely, 2^2418750720 is an apocalyptic number.

2418750720 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 2418750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440702420).

2418750720 is an abundant number, since it is smaller than the sum of its proper divisors (6462654120).

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

2418750720 is an equidigital number, since it uses as much as digits as its factorization.

2418750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2418750720 is about 49180.7962521958. The cubic root of 2418750720 is about 1342.3436227456.

The spelling of 2418750720 in words is "two billion, four hundred eighteen million, seven hundred fifty thousand, seven hundred twenty".