2465612000 has 192 divisors, whose sum is σ = 6495914880. Its totient is φ = 916480000.

The previous prime is 2465611991. The next prime is 2465612033. The reversal of 2465612000 is 2165642.

It is a congruent number.

It is an unprimeable number.

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, 6867821 + ... + 6868179.

It is an arithmetic number, because the mean of its divisors is an integer number (33832890).

Almost surely, 2^2465612000 is an apocalyptic number.

2465612000 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 2465612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247957440).

2465612000 is an abundant number, since it is smaller than the sum of its proper divisors (4030302880).

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

2465612000 is a wasteful number, since it uses less digits than its factorization.

2465612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2465612000 is about 49654.9292618568. The cubic root of 2465612000 is about 1350.9571629942.

Adding to 2465612000 its reverse (2165642), we get a palindrome (2467777642).

The spelling of 2465612000 in words is "two billion, four hundred sixty-five million, six hundred twelve thousand".