2918384640 has 440 divisors, whose sum is σ = 10842746112. Its totient is φ = 749813760.

The previous prime is 2918384621. The next prime is 2918384641. The reversal of 2918384640 is 464838192.

It is a happy number.

2918384640 is a `hidden beast` number, since 2 + 9 + 183 + 8 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2918384641) 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, 12856207 + ... + 12856433.

Almost surely, 2^2918384640 is an apocalyptic number.

2918384640 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 2918384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421373056).

2918384640 is an abundant number, since it is smaller than the sum of its proper divisors (7924361472).

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

2918384640 is a wasteful number, since it uses less digits than its factorization.

2918384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2918384640 is about 54022.0754877115. The cubic root of 2918384640 is about 1429.0502830519.

The spelling of 2918384640 in words is "two billion, nine hundred eighteen million, three hundred eighty-four thousand, six hundred forty".