2343781440 has 896 divisors, whose sum is σ = 11142512640. Its totient is φ = 447897600.

The previous prime is 2343781411. The next prime is 2343781481. The reversal of 2343781440 is 441873432.

2343781440 is a `hidden beast` number, since 234 + 378 + 14 + 40 = 666.

It is a super-2 number, since 2×2343781440² = 10986622876976947200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2343781395 and 2343781404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648505 + ... + 8648775.

It is an arithmetic number, because the mean of its divisors is an integer number (12435840).

Almost surely, 2^2343781440 is an apocalyptic number.

2343781440 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 2343781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571256320).

2343781440 is an abundant number, since it is smaller than the sum of its proper divisors (8798731200).

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

2343781440 is a wasteful number, since it uses less digits than its factorization.

2343781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2343781440 is about 48412.6165374275. The cubic root of 2343781440 is about 1328.3291510047.

The spelling of 2343781440 in words is "two billion, three hundred forty-three million, seven hundred eighty-one thousand, four hundred forty".