2365890240 has 448 divisors, whose sum is σ = 9110642688. Its totient is φ = 508723200.

The previous prime is 2365890211. The next prime is 2365890251. The reversal of 2365890240 is 420985632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8540982 + ... + 8541258.

It is an arithmetic number, because the mean of its divisors is an integer number (20336256).

Almost surely, 2^2365890240 is an apocalyptic number.

2365890240 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 2365890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555321344).

2365890240 is an abundant number, since it is smaller than the sum of its proper divisors (6744752448).

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

2365890240 is a wasteful number, since it uses less digits than its factorization.

2365890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2365890240 is about 48640.4177613639. The cubic root of 2365890240 is about 1332.4927791017.

The spelling of 2365890240 in words is "two billion, three hundred sixty-five million, eight hundred ninety thousand, two hundred forty".