2365480480 has 96 divisors (see below), whose sum is σ = 6119463168. Its totient is φ = 856934400.

The previous prime is 2365480477. The next prime is 2365480501. The reversal of 2365480480 is 840845632.

2365480480 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-2 number, since 2×2365480480² = 11190995802522060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492169 + ... + 496951.

It is an arithmetic number, because the mean of its divisors is an integer number (63744408).

Almost surely, 2^2365480480 is an apocalyptic number.

2365480480 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 2365480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059731584).

2365480480 is an abundant number, since it is smaller than the sum of its proper divisors (3753982688).

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

2365480480 is a wasteful number, since it uses less digits than its factorization.

2365480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2365480480 is about 48636.2054440928. The cubic root of 2365480480 is about 1332.4158476988.

The spelling of 2365480480 in words is "two billion, three hundred sixty-five million, four hundred eighty thousand, four hundred eighty".