2465064000 has 672 divisors, whose sum is σ = 10368174336. Its totient is φ = 547430400.

The previous prime is 2465063999. The next prime is 2465064001. The reversal of 2465064000 is 4605642.

It is a happy number.

2465064000 is a `hidden beast` number, since 2 + 4 + 650 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2465063999) and next prime (2465064001).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2465064001) 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, 33767964 + ... + 33768036.

Almost surely, 2^2465064000 is an apocalyptic number.

2465064000 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 2465064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184087168).

2465064000 is an abundant number, since it is smaller than the sum of its proper divisors (7903110336).

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

2465064000 is a wasteful number, since it uses less digits than its factorization.

2465064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2465064000 is about 49649.4108726378. The cubic root of 2465064000 is about 1350.8570689298.

Adding to 2465064000 its reverse (4605642), we get a palindrome (2469669642).

The spelling of 2465064000 in words is "two billion, four hundred sixty-five million, sixty-four thousand".