2365765380 has 324 divisors, whose sum is σ = 8245773900. Its totient is φ = 569669760.

The previous prime is 2365765331. The next prime is 2365765397. The reversal of 2365765380 is 835675632.

2365765380 is a `hidden beast` number, since 23 + 6 + 576 + 53 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 536663556 + 1829101824 = 23166^2 + 42768^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15877546 + ... + 15877694.

Almost surely, 2^2365765380 is an apocalyptic number.

2365765380 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 2365765380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122886950).

2365765380 is an abundant number, since it is smaller than the sum of its proper divisors (5880008520).

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

2365765380 is a wasteful number, since it uses less digits than its factorization.

2365765380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 2365765380 is about 48639.1342439398. The cubic root of 2365765380 is about 1332.4693378937.

The spelling of 2365765380 in words is "two billion, three hundred sixty-five million, seven hundred sixty-five thousand, three hundred eighty".