2418867840 has 256 divisors, whose sum is σ = 7949145600. Its totient is φ = 625397760.

The previous prime is 2418867821. The next prime is 2418867881. The reversal of 2418867840 is 487688142.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2418867840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14839599 + ... + 14839761.

It is an arithmetic number, because the mean of its divisors is an integer number (31051350).

Almost surely, 2^2418867840 is an apocalyptic number.

2418867840 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 2418867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974572800).

2418867840 is an abundant number, since it is smaller than the sum of its proper divisors (5530277760).

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

2418867840 is a wasteful number, since it uses less digits than its factorization.

2418867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 2418867840 is about 49181.9869464421. The cubic root of 2418867840 is about 1342.3652885786.

The spelling of 2418867840 in words is "two billion, four hundred eighteen million, eight hundred sixty-seven thousand, eight hundred forty".