2365284480 has 256 divisors, whose sum is σ = 8177984640. Its totient is φ = 578027520.

The previous prime is 2365284479. The next prime is 2365284487. The reversal of 2365284480 is 844825632.

It is not an unprimeable number, because it can be changed into a prime (2365284487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4817035 + ... + 4817525.

Almost surely, 2^2365284480 is an apocalyptic number.

2365284480 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 2365284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088992320).

2365284480 is an abundant number, since it is smaller than the sum of its proper divisors (5812700160).

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

2365284480 is a wasteful number, since it uses less digits than its factorization.

2365284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2365284480 is about 48634.1904425272. The cubic root of 2365284480 is about 1332.3790460537.

The spelling of 2365284480 in words is "two billion, three hundred sixty-five million, two hundred eighty-four thousand, four hundred eighty".