2465734320 has 480 divisors, whose sum is σ = 10027929600. Its totient is φ = 530804736.

The previous prime is 2465734319. The next prime is 2465734321. The reversal of 2465734320 is 234375642.

2465734320 is a `hidden beast` number, since 2 + 46 + 573 + 43 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2465734319) and next prime (2465734321).

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

It is not an unprimeable number, because it can be changed into a prime (2465734321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10316761 + ... + 10316999.

It is an arithmetic number, because the mean of its divisors is an integer number (20891520).

Almost surely, 2^2465734320 is an apocalyptic number.

2465734320 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 2465734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013964800).

2465734320 is an abundant number, since it is smaller than the sum of its proper divisors (7562195280).

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

2465734320 is a wasteful number, since it uses less digits than its factorization.

2465734320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2465734320 is about 49656.1609470567. The cubic root of 2465734320 is about 1350.9795031337.

The spelling of 2465734320 in words is "two billion, four hundred sixty-five million, seven hundred thirty-four thousand, three hundred twenty".