2418947520 has 448 divisors, whose sum is σ = 8873044992. Its totient is φ = 552960000.

The previous prime is 2418947501. The next prime is 2418947521. The reversal of 2418947520 is 257498142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2418947521) 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, 16019445 + ... + 16019595.

It is an arithmetic number, because the mean of its divisors is an integer number (19805904).

Almost surely, 2^2418947520 is an apocalyptic number.

2418947520 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 2418947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436522496).

2418947520 is an abundant number, since it is smaller than the sum of its proper divisors (6454097472).

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

2418947520 is a wasteful number, since it uses less digits than its factorization.

2418947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2418947520 is about 49182.7969924444. The cubic root of 2418947520 is about 1342.3800280488.

The spelling of 2418947520 in words is "two billion, four hundred eighteen million, nine hundred forty-seven thousand, five hundred twenty".