2318968440 has 192 divisors, whose sum is σ = 7857682560. Its totient is φ = 615081600.

The previous prime is 2318968433. The next prime is 2318968459. The reversal of 2318968440 is 448698132.

It is a happy number.

2318968440 is a `hidden beast` number, since 23 + 189 + 6 + 8 + 440 = 666.

It is a super-2 number, since 2×2318968440² = 10755229251432067200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2205915 + ... + 2206965.

It is an arithmetic number, because the mean of its divisors is an integer number (40925430).

Almost surely, 2^2318968440 is an apocalyptic number.

2318968440 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 2318968440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928841280).

2318968440 is an abundant number, since it is smaller than the sum of its proper divisors (5538714120).

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

2318968440 is a wasteful number, since it uses less digits than its factorization.

2318968440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1288 counting only the distinct ones).

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

The square root of 2318968440 is about 48155.6688251757. The cubic root of 2318968440 is about 1323.6249534794.

The spelling of 2318968440 in words is "two billion, three hundred eighteen million, nine hundred sixty-eight thousand, four hundred forty".