2465912064 has 576 divisors, whose sum is σ = 8947814400. Its totient is φ = 596090880.

The previous prime is 2465912047. The next prime is 2465912069. The reversal of 2465912064 is 4602195642.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465912069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66646254 + ... + 66646290.

It is an arithmetic number, because the mean of its divisors is an integer number (15534400).

Almost surely, 2^2465912064 is an apocalyptic number.

2465912064 is a gapful number since it is divisible by the number (24) 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 2465912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473907200).

2465912064 is an abundant number, since it is smaller than the sum of its proper divisors (6481902336).

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

2465912064 is a wasteful number, since it uses less digits than its factorization.

2465912064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2465912064 is about 49657.9506625072. The cubic root of 2465912064 is about 1351.0119644211.

The spelling of 2465912064 in words is "two billion, four hundred sixty-five million, nine hundred twelve thousand, sixty-four".