2344256640 has 320 divisors, whose sum is σ = 9135054720. Its totient is φ = 568166400.

The previous prime is 2344256573. The next prime is 2344256641. The reversal of 2344256640 is 466524432.

2344256640 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 2 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 2344256595 and 2344256604.

It is not an unprimeable number, because it can be changed into a prime (2344256641) 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, 568185 + ... + 572295.

It is an arithmetic number, because the mean of its divisors is an integer number (28547046).

Almost surely, 2^2344256640 is an apocalyptic number.

2344256640 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 2344256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567527360).

2344256640 is an abundant number, since it is smaller than the sum of its proper divisors (6790798080).

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

2344256640 is a wasteful number, since it uses less digits than its factorization.

2344256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2344256640 is about 48417.5241002677. The cubic root of 2344256640 is about 1328.4189175313.

The spelling of 2344256640 in words is "two billion, three hundred forty-four million, two hundred fifty-six thousand, six hundred forty".