2464895808 has 252 divisors, whose sum is σ = 7521764484. Its totient is φ = 771379200.

The previous prime is 2464895801. The next prime is 2464895879. The reversal of 2464895808 is 8085984642.

It can be written as a sum of positive squares in 2 ways, for example, as 602800704 + 1862095104 = 24552^2 + 43152^2 .

It is a super-2 number, since 2×2464895808² = 12151422688591945728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464895801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33765660 + ... + 33765732.

Almost surely, 2^2464895808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2464895808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760882242).

2464895808 is an abundant number, since it is smaller than the sum of its proper divisors (5056868676).

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

2464895808 is a wasteful number, since it uses less digits than its factorization.

2464895808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2464895808 is about 49647.7170472117. The cubic root of 2464895808 is about 1350.8263451136.

The spelling of 2464895808 in words is "two billion, four hundred sixty-four million, eight hundred ninety-five thousand, eight hundred eight".