2345653440 has 672 divisors, whose sum is σ = 9372819456. Its totient is φ = 534159360.

The previous prime is 2345653403. The next prime is 2345653441. The reversal of 2345653440 is 443565432.

2345653440 is a `hidden beast` number, since 2 + 34 + 56 + 534 + 40 = 666.

2345653440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2345653440³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2345653395 and 2345653404.

It is not an unprimeable number, because it can be changed into a prime (2345653441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49907497 + ... + 49907543.

It is an arithmetic number, because the mean of its divisors is an integer number (13947648).

Almost surely, 2^2345653440 is an apocalyptic number.

2345653440 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 2345653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686409728).

2345653440 is an abundant number, since it is smaller than the sum of its proper divisors (7027166016).

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

2345653440 is a wasteful number, since it uses less digits than its factorization.

2345653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 2345653440 is about 48431.9464816354. The cubic root of 2345653440 is about 1328.6827065012.

The spelling of 2345653440 in words is "two billion, three hundred forty-five million, six hundred fifty-three thousand, four hundred forty".