2365009920 has 832 divisors, whose sum is σ = 10568355840. Its totient is φ = 488374272.

The previous prime is 2365009909. The next prime is 2365009931. The reversal of 2365009920 is 299005632.

It is an interprime number because it is at equal distance from previous prime (2365009909) and next prime (2365009931).

It is a tau number, because it is divible by the number of its divisors (832).

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

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, 50319337 + ... + 50319383.

Almost surely, 2^2365009920 is an apocalyptic number.

2365009920 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 2365009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284177920).

2365009920 is an abundant number, since it is smaller than the sum of its proper divisors (8203345920).

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

2365009920 is a wasteful number, since it uses less digits than its factorization.

2365009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2365009920 is about 48631.3676550434. The cubic root of 2365009920 is about 1332.3274902895.

The spelling of 2365009920 in words is "two billion, three hundred sixty-five million, nine thousand, nine hundred twenty".